SimplicialComplexes : Index
- 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) -- get the coefficient ring
- 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(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.
- 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) -- get the associated ring of an object
- simplicialChainComplex -- The chain complex of boundary maps.
- simplicialChainComplex(List,SimplicialComplex) -- The chain complex of boundary maps.
- SimplicialComplex
- simplicialComplex -- create a simplicial complex
- SimplicialComplex == SimplicialComplex -- Compare two simplicial complexes.
- simplicialComplex(List) -- create a simplicial complex
- simplicialComplex(MonomialIdeal) -- create a simplicial complex
- SimplicialComplexes -- simplicial complexes
- 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.