addFacetDataToComplex -- Adds to a complex facet data.

Synopsis

• Usage:

  addFacetDataToComplex(C,facetlist)

• Inputs:
  • C, an embedded complex,
  • facetlist, a list, whose i-th entry is a list of the facets of C of dimension i-1
• Outputs:
  • C, an embedded complex,

Description

i1 : R=QQ[x_0..x_4]

o1 = R

o1 : PolynomialRing

i2 : addCokerGrading(R)

o2 = | -1 -1 -1 -1 |
     | 1  0  0  0  |
     | 0  1  0  0  |
     | 0  0  1  0  |
     | 0  0  0  1  |

              5       4
o2 : Matrix ZZ  <-- ZZ

i3 : I=ideal(x_0*x_1,x_1*x_2,x_2*x_3,x_3*x_4,x_4*x_0)

o3 = ideal (x x , x x , x x , x x , x x )
             0 1   1 2   2 3   3 4   0 4

o3 : Ideal of R

i4 : C=idealToComplex(I)

o4 = 1: x x  x x  x x  x x  x x  
         0 2  0 3  1 3  1 4  2 4

o4 : complex of dim 1 embedded in dim 4 (printing facets)
     equidimensional, simplicial, F-vector {1, 5, 5, 0, 0, 0}, Euler = -1

i5 : Cl=newEmptyComplex(R)

o5 = empty complex

o5 : complex of dim -1 embedded in dim 4 (printing facets)
     equidimensional, simplicial

i6 : addFacetDataToComplex(Cl,facets C)

o6 = done

i7 : Cl==C

o7 = true

See also

• newEmptyComplex -- Generates an empty complex.
• addFaceDataToComplex -- Adds to a complex face data.
• dim -- compute the Krull dimension
• fvector -- The F-vector of a complex.
• facets -- The maximal faces of a complex.
• isSimp -- Check whether a complex or co-complex is simplicial.
• isEquidimensional -- Check whether a complex or co-complex is equidimensional.