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Cell complexes and their homology
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Index
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B
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C
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D
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E
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F
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G
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H
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I
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J
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K
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L
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M
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N
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O
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P
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Q
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R
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S
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T
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U
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V
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W
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Z
A
AbstractSimplex() (in module sage.homology.simplicial_set)
AbstractSimplex_class (class in sage.homology.simplicial_set)
add_face() (sage.homology.simplicial_complex.SimplicialComplex method)
alexander_dual() (sage.homology.simplicial_complex.SimplicialComplex method)
alexander_whitney() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.cubical_complex.Cube method)
(sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.Simplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
algebra() (sage.homology.hochschild_complex.HochschildComplex method)
algebraic_topological_model() (in module sage.homology.algebraic_topological_model)
(sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_finite method)
algebraic_topological_model_delta_complex() (in module sage.homology.algebraic_topological_model)
all_degeneracies() (in module sage.homology.simplicial_set)
all_n_simplices() (sage.homology.simplicial_set.SimplicialSet_arbitrary method)
ambient() (sage.homology.simplicial_set_constructions.QuotientOfSimplicialSet method)
ambient_space() (sage.homology.simplicial_set_constructions.SubSimplicialSet method)
an_element() (sage.homology.simplicial_complex_homset.SimplicialComplexHomset method)
(sage.homology.simplicial_set_morphism.SimplicialSetHomset method)
apply_degeneracies() (sage.homology.simplicial_set.AbstractSimplex_class method)
associated_chain_complex_morphism() (sage.homology.simplicial_complex_morphism.SimplicialComplexMorphism method)
(sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
automorphism_group() (sage.homology.simplicial_complex.SimplicialComplex method)
B
BarnetteSphere() (in module sage.homology.examples)
barycentric_subdivision() (sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
base_as_subset() (sage.homology.simplicial_set_constructions.ConeOfSimplicialSet_finite method)
base_ring() (sage.homology.homology_morphism.InducedHomologyMorphism method)
basis() (sage.homology.homology_vector_space_with_basis.HomologyVectorSpaceWithBasis method)
betti() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.chain_complex.ChainComplex_class method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
boundary() (sage.homology.chains.Chains.Element method)
(sage.homology.hochschild_complex.HochschildComplex method)
BrucknerGrunbaumSphere() (in module sage.homology.examples)
C
cartesian_product() (sage.homology.chain_complex.ChainComplex_class method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
cell_complex() (sage.homology.chains.CellComplexReference method)
CellComplexReference (class in sage.homology.chains)
cells() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
Chain_class (class in sage.homology.chain_complex)
chain_complex() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.chains.Chains method)
(sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
(sage.homology.simplicial_set.SimplicialSet_finite method)
ChainComplex() (in module sage.homology.chain_complex)
ChainComplex_class (class in sage.homology.chain_complex)
ChainComplexHomspace (class in sage.homology.chain_complex_homspace)
ChainComplexMorphism (class in sage.homology.chain_complex_morphism)
ChainContraction (class in sage.homology.chain_homotopy)
ChainHomotopy (class in sage.homology.chain_homotopy)
Chains (class in sage.homology.chains)
Chains.Element (class in sage.homology.chains)
ChessboardComplex() (in module sage.homology.examples)
CHomP (class in sage.interfaces.chomp)
ClassifyingSpace() (in module sage.homology.simplicial_set_examples)
coboundary() (sage.homology.chains.Cochains.Element method)
(sage.homology.hochschild_complex.HochschildComplex method)
cochain_complex() (sage.homology.chains.Cochains method)
Cochains (class in sage.homology.chains)
Cochains.Element (class in sage.homology.chains)
coefficients() (sage.homology.hochschild_complex.HochschildComplex method)
coequalizer() (sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
cohomology() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.hochschild_complex.HochschildComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
cohomology_ring() (sage.homology.cell_complex.GenericCellComplex method)
CohomologyRing (class in sage.homology.homology_vector_space_with_basis)
CohomologyRing.Element (class in sage.homology.homology_vector_space_with_basis)
complex() (sage.homology.homology_vector_space_with_basis.HomologyVectorSpaceWithBasis method)
ComplexProjectivePlane() (in module sage.homology.examples)
ComplexProjectiveSpace() (in module sage.homology.simplicial_set_examples)
cone() (sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
cone_vertices() (sage.homology.simplicial_complex.SimplicialComplex method)
ConeOfSimplicialSet (class in sage.homology.simplicial_set_constructions)
ConeOfSimplicialSet_finite (class in sage.homology.simplicial_set_constructions)
connected_component() (sage.homology.simplicial_complex.SimplicialComplex method)
connected_sum() (sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
constant_map() (sage.homology.simplicial_set.SimplicialSet_arbitrary method)
(sage.homology.simplicial_set_morphism.SimplicialSetHomset method)
contraction() (sage.homology.homology_vector_space_with_basis.HomologyVectorSpaceWithBasis method)
coproduct() (sage.homology.simplicial_set.SimplicialSet_arbitrary method)
(sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
Cube (class in sage.homology.cubical_complex)
Cube() (sage.homology.cubical_complex.CubicalComplexExamples method)
CubicalComplex (class in sage.homology.cubical_complex)
CubicalComplexExamples (class in sage.homology.cubical_complex)
cup_product() (sage.homology.chains.Cochains.Element method)
(sage.homology.homology_vector_space_with_basis.CohomologyRing.Element method)
D
decone() (sage.homology.simplicial_complex.SimplicialComplex method)
defining_map() (sage.homology.simplicial_set_constructions.PullbackOfSimplicialSets method)
(sage.homology.simplicial_set_constructions.PushoutOfSimplicialSets method)
degeneracies() (sage.homology.simplicial_set.AbstractSimplex_class method)
degree() (sage.homology.chains.CellComplexReference method)
degree_of_differential() (sage.homology.chain_complex.ChainComplex_class method)
degree_on_basis() (sage.homology.homology_vector_space_with_basis.HomologyVectorSpaceWithBasis method)
delta_complex() (sage.homology.simplicial_complex.SimplicialComplex method)
DeltaComplex (class in sage.homology.delta_complex)
DeltaComplexExamples (class in sage.homology.delta_complex)
dhsw_snf() (in module sage.homology.matrix_utils)
diagonal_morphism() (sage.homology.simplicial_complex_homset.SimplicialComplexHomset method)
(sage.homology.simplicial_set_morphism.SimplicialSetHomset method)
differential() (sage.homology.chain_complex.ChainComplex_class method)
dimension() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.cubical_complex.Cube method)
(sage.homology.simplicial_complex.Simplex method)
(sage.homology.simplicial_set.AbstractSimplex_class method)
disjoint_union() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
DisjointUnionOfSimplicialSets (class in sage.homology.simplicial_set_constructions)
DisjointUnionOfSimplicialSets_finite (class in sage.homology.simplicial_set_constructions)
dual() (sage.homology.chain_complex.ChainComplex_class method)
(sage.homology.chain_complex_morphism.ChainComplexMorphism method)
(sage.homology.chain_homotopy.ChainContraction method)
(sage.homology.chain_homotopy.ChainHomotopy method)
(sage.homology.chains.Chains method)
(sage.homology.chains.Cochains method)
DunceHat() (in module sage.homology.examples)
E
Element (sage.homology.chain_complex.ChainComplex_class attribute)
elementary_subdivision() (sage.homology.delta_complex.DeltaComplex method)
Empty() (in module sage.homology.simplicial_set_examples)
equalizer() (sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
euler_characteristic() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.simplicial_set.SimplicialSet_finite method)
eval() (sage.homology.chains.Cochains.Element method)
F
f_triangle() (sage.homology.simplicial_complex.SimplicialComplex method)
f_vector() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.simplicial_set.SimplicialSet_finite method)
face() (sage.homology.cubical_complex.Cube method)
(sage.homology.simplicial_complex.Simplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
face_data() (sage.homology.simplicial_set.SimplicialSet_finite method)
face_degeneracies() (in module sage.homology.simplicial_set)
face_iterator() (sage.homology.simplicial_complex.SimplicialComplex method)
face_poset() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.delta_complex.DeltaComplex method)
faces() (sage.homology.cubical_complex.Cube method)
(sage.homology.simplicial_complex.Simplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
faces_as_pairs() (sage.homology.cubical_complex.Cube method)
facets() (sage.homology.simplicial_complex.SimplicialComplex method)
facets_for_K3() (in module sage.homology.examples)
(in module sage.homology.simplicial_complex)
facets_for_RP4() (in module sage.homology.examples)
(in module sage.homology.simplicial_complex)
factor() (sage.homology.simplicial_set_constructions.Factors method)
(sage.homology.simplicial_set_constructions.ProductOfSimplicialSets method)
Factors (class in sage.homology.simplicial_set_constructions)
factors() (sage.homology.simplicial_set_constructions.Factors method)
fat_wedge_as_subset() (sage.homology.simplicial_set_constructions.ProductOfSimplicialSets_finite method)
fiber_product() (sage.homology.simplicial_complex_morphism.SimplicialComplexMorphism method)
fixed_complex() (sage.homology.simplicial_complex.SimplicialComplex method)
flip_graph() (sage.homology.simplicial_complex.SimplicialComplex method)
free_module() (sage.homology.chain_complex.ChainComplex_class method)
(sage.homology.hochschild_complex.HochschildComplex method)
free_module_rank() (sage.homology.chain_complex.ChainComplex_class method)
fundamental_group() (sage.homology.simplicial_complex.SimplicialComplex method)
G
g_vector() (sage.homology.simplicial_complex.SimplicialComplex method)
generated_subcomplex() (sage.homology.simplicial_complex.SimplicialComplex method)
GenericCellComplex (class in sage.homology.cell_complex)
grading_group() (sage.homology.chain_complex.ChainComplex_class method)
graph() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
H
h_triangle() (sage.homology.simplicial_complex.SimplicialComplex method)
h_vector() (sage.homology.simplicial_complex.SimplicialComplex method)
have_chomp() (in module sage.interfaces.chomp)
help() (sage.interfaces.chomp.CHomP method)
HochschildComplex (class in sage.homology.hochschild_complex)
HochschildComplex.Element (class in sage.homology.hochschild_complex)
homchain() (in module sage.interfaces.chomp)
homcubes() (in module sage.interfaces.chomp)
homology() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.chain_complex.ChainComplex_class method)
(sage.homology.hochschild_complex.HochschildComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
homology_with_basis() (sage.homology.cell_complex.GenericCellComplex method)
HomologyGroup() (in module sage.homology.homology_group)
HomologyGroup_class (class in sage.homology.homology_group)
HomologyVectorSpaceWithBasis (class in sage.homology.homology_vector_space_with_basis)
HomologyVectorSpaceWithBasis.Element (class in sage.homology.homology_vector_space_with_basis)
homsimpl() (in module sage.interfaces.chomp)
HopfMap() (in module sage.homology.simplicial_set_examples)
Horn() (in module sage.homology.simplicial_set_examples)
I
identity() (sage.homology.simplicial_complex_homset.SimplicialComplexHomset method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
(sage.homology.simplicial_set_morphism.SimplicialSetHomset method)
image() (sage.homology.simplicial_complex_morphism.SimplicialComplexMorphism method)
(sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
in_degree() (sage.homology.chain_complex_morphism.ChainComplexMorphism method)
(sage.homology.chain_homotopy.ChainHomotopy method)
inclusion_map() (sage.homology.simplicial_set_constructions.DisjointUnionOfSimplicialSets_finite method)
(sage.homology.simplicial_set_constructions.SubSimplicialSet method)
(sage.homology.simplicial_set_constructions.WedgeOfSimplicialSets_finite method)
induced_homology_morphism() (sage.homology.simplicial_complex_morphism.SimplicialComplexMorphism method)
(sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
InducedHomologyMorphism (class in sage.homology.homology_morphism)
intersection() (sage.homology.simplicial_complex.SimplicialComplex method)
iota() (sage.homology.chain_homotopy.ChainContraction method)
is_acyclic() (sage.homology.cell_complex.GenericCellComplex method)
is_algebraic_gradient_vector_field() (sage.homology.chain_homotopy.ChainHomotopy method)
is_balanced() (sage.homology.simplicial_complex.SimplicialComplex method)
is_bijective() (sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
is_boundary() (sage.homology.chain_complex.Chain_class method)
(sage.homology.chains.Chains.Element method)
is_ChainComplexHomspace() (in module sage.homology.chain_complex_homspace)
is_ChainComplexMorphism() (in module sage.homology.chain_complex_morphism)
is_coboundary() (sage.homology.chains.Cochains.Element method)
is_cocycle() (sage.homology.chains.Cochains.Element method)
is_cohen_macaulay() (sage.homology.simplicial_complex.SimplicialComplex method)
is_connected() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
is_constant() (sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
is_contiguous_to() (sage.homology.simplicial_complex_morphism.SimplicialComplexMorphism method)
is_cycle() (sage.homology.chain_complex.Chain_class method)
(sage.homology.chains.Chains.Element method)
is_degenerate() (sage.homology.simplicial_set.AbstractSimplex_class method)
is_empty() (sage.homology.simplicial_complex.Simplex method)
is_face() (sage.homology.cubical_complex.Cube method)
(sage.homology.simplicial_complex.Simplex method)
is_flag_complex() (sage.homology.simplicial_complex.SimplicialComplex method)
is_homology_gradient_vector_field() (sage.homology.chain_homotopy.ChainHomotopy method)
is_identity() (sage.homology.chain_complex_morphism.ChainComplexMorphism method)
(sage.homology.homology_morphism.InducedHomologyMorphism method)
(sage.homology.simplicial_complex_morphism.SimplicialComplexMorphism method)
(sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
is_immutable() (sage.homology.simplicial_complex.SimplicialComplex method)
is_injective() (sage.homology.chain_complex_morphism.ChainComplexMorphism method)
(sage.homology.homology_morphism.InducedHomologyMorphism method)
(sage.homology.simplicial_complex_morphism.SimplicialComplexMorphism method)
(sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
is_isomorphic() (sage.homology.simplicial_complex.SimplicialComplex method)
is_mutable() (sage.homology.simplicial_complex.SimplicialComplex method)
is_nondegenerate() (sage.homology.simplicial_set.AbstractSimplex_class method)
is_partitionable() (sage.homology.simplicial_complex.SimplicialComplex method)
is_pointed() (sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
is_pseudomanifold() (sage.homology.simplicial_complex.SimplicialComplex method)
is_pure() (sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
is_reduced() (sage.homology.simplicial_set.SimplicialSet_arbitrary method)
is_shellable() (sage.homology.simplicial_complex.SimplicialComplex method)
is_shelling_order() (sage.homology.simplicial_complex.SimplicialComplex method)
is_SimplicialComplexHomset() (in module sage.homology.simplicial_complex_homset)
is_SimplicialComplexMorphism() (in module sage.homology.simplicial_complex_morphism)
is_subcomplex() (sage.homology.cubical_complex.CubicalComplex method)
is_surjective() (sage.homology.chain_complex_morphism.ChainComplexMorphism method)
(sage.homology.homology_morphism.InducedHomologyMorphism method)
(sage.homology.simplicial_complex_morphism.SimplicialComplexMorphism method)
(sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
J
join() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.Simplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
K
K3Surface() (in module sage.homology.examples)
KleinBottle() (in module sage.homology.examples)
(in module sage.homology.simplicial_set_examples)
(sage.homology.cubical_complex.CubicalComplexExamples method)
(sage.homology.delta_complex.DeltaComplexExamples method)
KoszulComplex (class in sage.homology.koszul_complex)
L
lattice_paths() (in module sage.homology.simplicial_complex)
link() (sage.homology.simplicial_complex.SimplicialComplex method)
M
map_from_base() (sage.homology.simplicial_set_constructions.ConeOfSimplicialSet_finite method)
(sage.homology.simplicial_set_constructions.ReducedConeOfSimplicialSet_finite method)
mapping_cone() (sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
mapping_torus() (sage.homology.simplicial_complex_morphism.SimplicialComplexMorphism method)
matching() (in module sage.homology.examples)
MatchingComplex() (in module sage.homology.examples)
maximal_cells() (sage.homology.cubical_complex.CubicalComplex method)
maximal_faces() (sage.homology.simplicial_complex.SimplicialComplex method)
minimal_nonfaces() (sage.homology.simplicial_complex.SimplicialComplex method)
module() (sage.homology.hochschild_complex.HochschildComplex method)
MooreSpace() (in module sage.homology.examples)
N
n_cells() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
n_chains() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
n_cubes() (sage.homology.cubical_complex.CubicalComplex method)
n_faces() (sage.homology.simplicial_complex.SimplicialComplex method)
n_skeleton() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_finite method)
(sage.homology.simplicial_set_constructions.ConeOfSimplicialSet method)
(sage.homology.simplicial_set_constructions.DisjointUnionOfSimplicialSets method)
(sage.homology.simplicial_set_constructions.ProductOfSimplicialSets method)
(sage.homology.simplicial_set_constructions.PullbackOfSimplicialSets method)
(sage.homology.simplicial_set_constructions.PushoutOfSimplicialSets method)
(sage.homology.simplicial_set_constructions.QuotientOfSimplicialSet method)
(sage.homology.simplicial_set_constructions.ReducedConeOfSimplicialSet method)
(sage.homology.simplicial_set_constructions.SuspensionOfSimplicialSet method)
(sage.homology.simplicial_set_examples.Nerve method)
(sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
Nerve (class in sage.homology.simplicial_set_examples)
nondegenerate() (sage.homology.simplicial_set.AbstractSimplex_class method)
nondegenerate_intervals() (sage.homology.cubical_complex.Cube method)
nondegenerate_simplices() (sage.homology.simplicial_set.SimplicialSet_arbitrary method)
NonDegenerateSimplex (class in sage.homology.simplicial_set)
nonzero_degrees() (sage.homology.chain_complex.ChainComplex_class method)
NotIConnectedGraphs() (in module sage.homology.examples)
O
one() (sage.homology.homology_vector_space_with_basis.CohomologyRing method)
ordered_degrees() (sage.homology.chain_complex.ChainComplex_class method)
P
pi() (sage.homology.chain_homotopy.ChainContraction method)
PoincareHomologyThreeSphere() (in module sage.homology.examples)
Point() (in module sage.homology.simplicial_set_examples)
process_generators_chain() (in module sage.interfaces.chomp)
process_generators_cubical() (in module sage.interfaces.chomp)
process_generators_simplicial() (in module sage.interfaces.chomp)
product() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.cubical_complex.Cube method)
(sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.Simplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
(sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
product_on_basis() (sage.homology.homology_vector_space_with_basis.CohomologyRing method)
ProductOfSimplicialSets (class in sage.homology.simplicial_set_constructions)
ProductOfSimplicialSets_finite (class in sage.homology.simplicial_set_constructions)
projection_map() (sage.homology.simplicial_set_constructions.ProductOfSimplicialSets_finite method)
(sage.homology.simplicial_set_constructions.PullbackOfSimplicialSets_finite method)
(sage.homology.simplicial_set_constructions.WedgeOfSimplicialSets_finite method)
ProjectivePlane() (in module sage.homology.examples)
PseudoQuaternionicProjectivePlane() (in module sage.homology.examples)
pullback() (sage.homology.simplicial_set.SimplicialSet_arbitrary method)
(sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
PullbackOfSimplicialSets (class in sage.homology.simplicial_set_constructions)
PullbackOfSimplicialSets_finite (class in sage.homology.simplicial_set_constructions)
pushout() (sage.homology.simplicial_set.SimplicialSet_arbitrary method)
(sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
PushoutOfSimplicialSets (class in sage.homology.simplicial_set_constructions)
PushoutOfSimplicialSets_finite (class in sage.homology.simplicial_set_constructions)
Q
quotient() (sage.homology.simplicial_set.SimplicialSet_arbitrary method)
quotient_map() (sage.homology.simplicial_set_constructions.QuotientOfSimplicialSet_finite method)
QuotientOfSimplicialSet (class in sage.homology.simplicial_set_constructions)
QuotientOfSimplicialSet_finite (class in sage.homology.simplicial_set_constructions)
R
random_element() (sage.homology.chain_complex.ChainComplex_class method)
RandomComplex() (in module sage.homology.examples)
RandomTwoSphere() (in module sage.homology.examples)
rank() (sage.homology.chain_complex.ChainComplex_class method)
RealProjectivePlane() (in module sage.homology.examples)
(sage.homology.cubical_complex.CubicalComplexExamples method)
(sage.homology.delta_complex.DeltaComplexExamples method)
RealProjectiveSpace() (in module sage.homology.examples)
(in module sage.homology.simplicial_set_examples)
reduce() (sage.homology.simplicial_set.SimplicialSet_arbitrary method)
ReducedConeOfSimplicialSet (class in sage.homology.simplicial_set_constructions)
ReducedConeOfSimplicialSet_finite (class in sage.homology.simplicial_set_constructions)
remove_face() (sage.homology.simplicial_complex.SimplicialComplex method)
rename_latex() (sage.homology.simplicial_set.SimplicialSet_arbitrary method)
rename_vertex() (in module sage.homology.simplicial_complex)
restriction_sets() (sage.homology.simplicial_complex.SimplicialComplex method)
RudinBall() (in module sage.homology.examples)
S
sage.homology.algebraic_topological_model (module)
sage.homology.cell_complex (module)
sage.homology.chain_complex (module)
sage.homology.chain_complex_homspace (module)
sage.homology.chain_complex_morphism (module)
sage.homology.chain_homotopy (module)
sage.homology.chains (module)
sage.homology.cubical_complex (module)
sage.homology.delta_complex (module)
sage.homology.examples (module)
sage.homology.hochschild_complex (module)
sage.homology.homology_group (module)
sage.homology.homology_morphism (module)
sage.homology.homology_vector_space_with_basis (module)
sage.homology.koszul_complex (module)
sage.homology.matrix_utils (module)
sage.homology.simplicial_complex (module)
sage.homology.simplicial_complex_homset (module)
sage.homology.simplicial_complex_morphism (module)
sage.homology.simplicial_set (module)
sage.homology.simplicial_set_catalog (module)
sage.homology.simplicial_set_constructions (module)
sage.homology.simplicial_set_examples (module)
sage.homology.simplicial_set_morphism (module)
sage.interfaces.chomp (module)
set() (sage.homology.simplicial_complex.Simplex method)
set_immutable() (sage.homology.simplicial_complex.SimplicialComplex method)
shift() (sage.homology.chain_complex.ChainComplex_class method)
ShiftedComplex() (in module sage.homology.examples)
shrink_simplicial_complex() (in module sage.homology.simplicial_set)
Simplex (class in sage.homology.simplicial_complex)
Simplex() (in module sage.homology.examples)
(in module sage.homology.simplicial_set_examples)
(sage.homology.delta_complex.DeltaComplexExamples method)
simplicial_data_from_kenzo_output() (in module sage.homology.simplicial_set_examples)
SimplicialComplex (class in sage.homology.simplicial_complex)
SimplicialComplexHomset (class in sage.homology.simplicial_complex_homset)
SimplicialComplexMorphism (class in sage.homology.simplicial_complex_morphism)
SimplicialSet (in module sage.homology.simplicial_set)
SimplicialSet_arbitrary (class in sage.homology.simplicial_set)
SimplicialSet_finite (class in sage.homology.simplicial_set)
SimplicialSetHomset (class in sage.homology.simplicial_set_morphism)
SimplicialSetMorphism (class in sage.homology.simplicial_set_morphism)
SmashProductOfSimplicialSets_finite (class in sage.homology.simplicial_set_constructions)
Sphere() (in module sage.homology.examples)
(in module sage.homology.simplicial_set_examples)
(sage.homology.cubical_complex.CubicalComplexExamples method)
(sage.homology.delta_complex.DeltaComplexExamples method)
Sq() (sage.homology.homology_vector_space_with_basis.CohomologyRing.Element method)
standardize_degeneracies() (in module sage.homology.simplicial_set)
standardize_face_maps() (in module sage.homology.simplicial_set)
stanley_reisner_ring() (sage.homology.simplicial_complex.SimplicialComplex method)
star() (sage.homology.simplicial_complex.SimplicialComplex method)
stellar_subdivision() (sage.homology.simplicial_complex.SimplicialComplex method)
structure_map() (sage.homology.simplicial_set_constructions.PullbackOfSimplicialSets_finite method)
(sage.homology.simplicial_set_constructions.PushoutOfSimplicialSets_finite method)
subcomplex() (sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_set_constructions.QuotientOfSimplicialSet method)
subsimplicial_set() (sage.homology.simplicial_set.SimplicialSet_arbitrary method)
SubSimplicialSet (class in sage.homology.simplicial_set_constructions)
sum_indices() (in module sage.homology.homology_vector_space_with_basis)
SumComplex() (in module sage.homology.examples)
summand() (sage.homology.simplicial_set_constructions.DisjointUnionOfSimplicialSets method)
(sage.homology.simplicial_set_constructions.WedgeOfSimplicialSets method)
summands() (sage.homology.simplicial_set_constructions.DisjointUnionOfSimplicialSets method)
(sage.homology.simplicial_set_constructions.WedgeOfSimplicialSets method)
SurfaceOfGenus() (in module sage.homology.examples)
(sage.homology.cubical_complex.CubicalComplexExamples method)
(sage.homology.delta_complex.DeltaComplexExamples method)
suspension() (sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
(sage.homology.simplicial_set_morphism.SimplicialSetMorphism method)
SuspensionOfSimplicialSet (class in sage.homology.simplicial_set_constructions)
SuspensionOfSimplicialSet_finite (class in sage.homology.simplicial_set_constructions)
T
tensor() (sage.homology.chain_complex.ChainComplex_class method)
to_complex() (sage.homology.chains.Chains.Element method)
(sage.homology.chains.Cochains.Element method)
to_cycle() (sage.homology.homology_vector_space_with_basis.HomologyVectorSpaceWithBasis.Element method)
to_matrix() (sage.homology.chain_complex_morphism.ChainComplexMorphism method)
(sage.homology.homology_morphism.InducedHomologyMorphism method)
torsion_list() (sage.homology.chain_complex.ChainComplex_class method)
Torus() (in module sage.homology.examples)
(in module sage.homology.simplicial_set_examples)
(sage.homology.cubical_complex.CubicalComplexExamples method)
(sage.homology.delta_complex.DeltaComplexExamples method)
trivial_module() (sage.homology.hochschild_complex.HochschildComplex method)
tuple() (sage.homology.cubical_complex.Cube method)
(sage.homology.simplicial_complex.Simplex method)
U
UniqueSimplicialComplex (class in sage.homology.examples)
universal_property() (sage.homology.simplicial_set_constructions.PullbackOfSimplicialSets_finite method)
(sage.homology.simplicial_set_constructions.PushoutOfSimplicialSets_finite method)
V
vector() (sage.homology.chain_complex.Chain_class method)
(sage.homology.hochschild_complex.HochschildComplex.Element method)
vertices() (sage.homology.simplicial_complex.SimplicialComplex method)
W
wedge() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
(sage.homology.simplicial_set.SimplicialSet_arbitrary method)
wedge_as_subset() (sage.homology.simplicial_set_constructions.ProductOfSimplicialSets_finite method)
WedgeOfSimplicialSets (class in sage.homology.simplicial_set_constructions)
WedgeOfSimplicialSets_finite (class in sage.homology.simplicial_set_constructions)
Z
ZieglerBall() (in module sage.homology.examples)
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Cell complexes and their homology
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