Index

A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | R | S | T | U | V | W | Z

A

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)
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)
algebraic_topological_model_delta_complex() (in module sage.homology.algebraic_topological_model)
an_element() (sage.homology.simplicial_complex_homset.SimplicialComplexHomset method)
associated_chain_complex_morphism() (sage.homology.simplicial_complex_morphism.SimplicialComplexMorphism 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_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)
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)
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)
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)
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)
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)
cohomology() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.hochschild_complex.HochschildComplex 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)
cone() (sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.delta_complex.DeltaComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
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)
contraction() (sage.homology.homology_vector_space_with_basis.HomologyVectorSpaceWithBasis 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

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)
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)
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)
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)
euler_characteristic() (sage.homology.cell_complex.GenericCellComplex 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)
face() (sage.homology.cubical_complex.Cube method)
(sage.homology.simplicial_complex.Simplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
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)
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)
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)

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)
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)
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)

I

identity() (sage.homology.simplicial_complex_homset.SimplicialComplexHomset method)
image() (sage.homology.simplicial_complex_morphism.SimplicialComplexMorphism method)
in_degree() (sage.homology.chain_complex_morphism.ChainComplexMorphism method)
(sage.homology.chain_homotopy.ChainHomotopy method)
induced_homology_morphism() (sage.homology.simplicial_complex_morphism.SimplicialComplexMorphism method)
InducedHomologyMorphism (class in sage.homology.homology_morphism)
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_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.simplicial_complex.SimplicialComplex method)
is_cycle() (sage.homology.chain_complex.Chain_class method)
(sage.homology.chains.Chains.Element 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)
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)
is_isomorphic() (sage.homology.simplicial_complex.SimplicialComplex method)
is_mutable() (sage.homology.simplicial_complex.SimplicialComplex method)
is_pseudomanifold() (sage.homology.simplicial_complex.SimplicialComplex method)
is_pure() (sage.homology.cubical_complex.CubicalComplex method)
(sage.homology.simplicial_complex.SimplicialComplex 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)

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)

K

K3Surface() (in module sage.homology.examples)
KleinBottle() (in module sage.homology.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

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)
MooreSpace() (in module sage.homology.examples)

N

n_cells() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.simplicial_complex.SimplicialComplex method)
n_chains() (sage.homology.cell_complex.GenericCellComplex method)
(sage.homology.delta_complex.DeltaComplex 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)
nondegenerate_intervals() (sage.homology.cubical_complex.Cube method)
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)
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)
product_on_basis() (sage.homology.homology_vector_space_with_basis.CohomologyRing method)
ProjectivePlane() (in module sage.homology.examples)
PseudoQuaternionicProjectivePlane() (in module sage.homology.examples)

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)
remove_face() (sage.homology.simplicial_complex.SimplicialComplex 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.interfaces.chomp (module)
set() (sage.homology.simplicial_complex.Simplex method)
set_immutable() (sage.homology.simplicial_complex.SimplicialComplex method)
ShiftedComplex() (in module sage.homology.examples)
Simplex (class in sage.homology.simplicial_complex)
Simplex() (in module sage.homology.examples)
(sage.homology.delta_complex.DeltaComplexExamples method)
SimplicialComplex (class in sage.homology.simplicial_complex)
SimplicialComplexHomset (class in sage.homology.simplicial_complex_homset)
SimplicialComplexMorphism (class in sage.homology.simplicial_complex_morphism)
Sphere() (in module sage.homology.examples)
(sage.homology.cubical_complex.CubicalComplexExamples method)
(sage.homology.delta_complex.DeltaComplexExamples method)
Sq() (sage.homology.homology_vector_space_with_basis.CohomologyRing.Element method)
stanley_reisner_ring() (sage.homology.simplicial_complex.SimplicialComplex method)
subcomplex() (sage.homology.delta_complex.DeltaComplex method)
sum_indices() (in module sage.homology.homology_vector_space_with_basis)
SumComplex() (in module sage.homology.examples)
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)

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)
(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)

V

vector() (sage.homology.chain_complex.Chain_class 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)

Z

ZieglerBall() (in module sage.homology.examples)