SimplicialComplexes : Index
-
algebraicShifting -- the algebraic shifting of a simplicial complex
-
algebraicShifting(...,Multigrading=>...) -- the algebraic shifting of a simplicial complex
-
algebraicShifting(SimplicialComplex) -- the algebraic shifting of a simplicial complex
-
boundary -- boundary operator
-
boundary(SimplicialComplex) -- the boundary simplicial complex of D
-
boundary(ZZ,SimplicialComplex) -- the boundary map from i-faces to (i-1)-faces
-
buchbergerComplex -- Buchberger complex of a monomial ideal
-
buchbergerComplex(List,Ring) -- Buchberger complex of a monomial ideal
-
buchbergerComplex(MonomialIdeal) -- Buchberger complex of a monomial ideal
-
chainComplex(SimplicialComplex) -- The chain complex of boundary maps.
-
coefficientRing(SimplicialComplex)
-
dim(Face) -- The dimension of a face.
-
dim(SimplicialComplex) -- dimension of a simplicial complex
-
dual(SimplicialComplex) -- the Alexander dual of a simplicial complex
-
Face -- The class of faces of simplicial complexes.
-
face -- Generate a face.
-
Face == Face -- Compare two faces.
-
face(List) -- Generate a face.
-
face(List,PolynomialRing) -- Generate a face.
-
face(RingElement) -- Generate a face.
-
faceIdeal -- Key to simplicial complex.
-
faces -- the i-faces of a simplicial complex
-
faces(...,useFaceClass=>...) -- Option to return faces in the class Face
-
faces(SimplicialComplex) -- Compute all faces of a simplicial complex.
-
faces(ZZ,SimplicialComplex) -- the i-faces of a simplicial complex
-
facets -- the facets of a simplicial complex
-
facets(...,useFaceClass=>...) -- Option to return faces in the class Face
-
facets(SimplicialComplex) -- the facets of a simplicial complex
-
fVector -- the f-vector of a simplicial complex
-
fVector(...,Flag=>...) -- the f-vector of a simplicial complex
-
fVector(SimplicialComplex) -- the f-vector of a simplicial complex
-
HH SimplicialComplex -- Compute the homology of a simplicial complex.
-
HH_ZZ SimplicialComplex -- Compute the homology of a simplicial complex.
-
HH_ZZ(SimplicialComplex,Ring) -- Compute the homology of a simplicial complex.
-
homology(Nothing,SimplicialComplex) -- Compute the homology of a simplicial complex.
-
homology(Nothing,SimplicialComplex,Ring) -- Compute the homology of a simplicial complex.
-
homology(SimplicialComplex,Ring) -- Compute the homology of a simplicial complex.
-
ideal(SimplicialComplex) -- the ideal of minimal nonfaces (the Stanley-Reisner ideal)
-
isFaceOf -- Substitute a face to a different ring.
-
isFaceOf(Face,SimplicialComplex) -- Substitute a face to a different ring.
-
isPure -- whether the facets are equidimensional
-
isPure(SimplicialComplex) -- whether the facets are equidimensional
-
isSubface -- Test whether a face is a subface of another face.
-
isSubface(Face,Face) -- Test whether a face is a subface of another face.
-
joinSimplicial -- the join of two simplicial complexes
-
joinSimplicial(SimplicialComplex,SimplicialComplex) -- the join of two simplicial complexes
-
label -- labels with monomials the faces of simplicial complex
-
label(SimplicialComplex,List) -- labels with monomials the faces of simplicial complex
-
link -- link of a face in a simplicial complex
-
link(SimplicialComplex,RingElement) -- link of a face in a simplicial complex
-
lyubeznikComplex -- Simplicial complex supporting the Lyubeznik resolution of a monomial ideal
-
lyubeznikComplex(List,Ring) -- Simplicial complex supporting the Lyubeznik resolution of a monomial ideal
-
lyubeznikComplex(MonomialIdeal) -- Simplicial complex supporting the Lyubeznik resolution of a monomial ideal
-
monomialIdeal(SimplicialComplex) -- the monomial ideal of minimal nonfaces (the Stanley-Reisner ideal)
-
net(Face) -- Printing a face.
-
net(SimplicialComplex) -- Printing a simplicial complex.
-
ring(Face) -- Ring of a face.
-
ring(SimplicialComplex)
-
simplicialChainComplex -- The chain complex of boundary maps.
-
simplicialChainComplex(List,SimplicialComplex) -- The chain complex of boundary maps.
-
SimplicialComplex
-
simplicialComplex -- create a simplicial complex
-
SimplicialComplex * SimplicialComplex -- the join of two simplicial complexes
-
SimplicialComplex == SimplicialComplex -- Compare two simplicial complexes.
-
simplicialComplex(List) -- create a simplicial complex
-
simplicialComplex(MonomialIdeal) -- create a simplicial complex
-
SimplicialComplexes -- simplicial complexes
-
skeleton -- the n-skeleton of the simplicial complex D
-
skeleton(ZZ,SimplicialComplex) -- the n-skeleton of the simplicial complex D
-
star -- star of a face in a simplicial complex
-
star(SimplicialComplex,RingElement) -- star of a face in a simplicial complex
-
substitute(Face,PolynomialRing) -- Substitute a face to a different ring.
-
substitute(SimplicialComplex,PolynomialRing) -- Substitute a simplicial complex to a different ring.
-
superficialComplex -- Simplicial complex supporting a superficial resolution of a monomial ideal
-
superficialComplex(List,Ring) -- Simplicial complex supporting a superficial resolution of a monomial ideal
-
superficialComplex(MonomialIdeal) -- Simplicial complex supporting a superficial resolution of a monomial ideal
-
useFaceClass -- Option to return faces in the class Face
-
vertices -- The vertices of a face of a simplicial complex.
-
vertices(Face) -- The vertices of a face of a simplicial complex.