skeleton -- the n-skeleton of the simplicial complex D

Synopsis

• Usage:

  skeleton(n,D)

• Inputs:
  • i, an integer
  • D, a simplicial complex
• Outputs:
  • a simplicial complex, the n-skeleton of a simplicial complex, i.e. the subcomplex of all subfaces of dimension at most n

Description

i1 : R = ZZ[a..f];

i2 : simplex = simplicialComplex{a*b*c*d*e*f}

o2 = | abcdef |

o2 : SimplicialComplex

i3 : skel = skeleton(2,simplex)

o3 = | def cef bef aef cdf bdf adf bcf acf abf cde bde ade bce ace abe bcd acd abd abc |

o3 : SimplicialComplex

i4 : fVector simplex

o4 = HashTable{-1 => 1}
               0 => 6
               1 => 15
               2 => 20
               3 => 15
               4 => 6
               5 => 1

o4 : HashTable

i5 : fVector skel

o5 = HashTable{-1 => 1}
               0 => 6
               1 => 15
               2 => 20

o5 : HashTable

See also

• SimplicialComplexes -- simplicial complexes
• fVector -- the f-vector of a simplicial complex
• faces -- the i-faces of a simplicial complex