cellComplex -- create a cell complex

Synopsis

Usage:

cellComplex(R,maxCells)
Inputs:
- R, a ring, that specifies the base ring for interpreting the labels
- maxCells, a list, that specifies the maximal cells for the complex
Outputs:
- a cell complex,

Description

The method cellComplex takes a ring R and a list of maximal cells and constructs the corresponding cell complex. While the intent is for the supplied cells to be maximal, including non-maximal cells is not forbidden and will generate valid cell complexes.

The ring R is the ring over which the labels are interpreted. This function does not directly check that the labels are in the correct ring.

i1 : c = newCell {}

o1 = Cell of dimension 0 with label 1

o1 : Cell

i2 : C = cellComplex(QQ,{c});

i3 : R = QQ[x,y];

i4 : C = cellComplex(R,{c});

Ways to use cellComplex :

cellComplex(Ring,List)
cellComplex(Ring,PolyhedralComplex) -- creates cell complex from given polyhedral complex
cellComplex(Ring,Polyhedron) -- creates cell complex from given polyhedron
cellComplex(Ring,SimplicialComplex) -- Creates a cell complex from a given simplicial complex

For the programmer

The object cellComplex is a method function with options.

cellComplex -- create a cell complex

Synopsis

Description

See also

Ways to use cellComplex :

For the programmer