AbstractSimplicialComplex _ ZZ -- the $k$ faces of a simplicial complex

Operator: _
Usage:

K_k
Inputs:
- K, an abstract simplicial complex,
- k, an integer,
Outputs:
- an abstract simplicial complex, the list of $k$ faces

Description

This method returns the collection of $k$ faces of a given AbstractSimplicialComplex.

i1 : K = abstractSimplicialComplex(3)

o1 = AbstractSimplicialComplex{-1 => {{}}                   }
                               0 => {{1}, {2}, {3}}
                               1 => {{1, 2}, {1, 3}, {2, 3}}
                               2 => {{1, 2, 3}}

o1 : AbstractSimplicialComplex

i2 : K_3

o2 = {}

o2 : List

i3 : K_2

o3 = {{1, 2, 3}}

o3 : List

i4 : K_1

o4 = {{1, 2}, {1, 3}, {2, 3}}

o4 : List

i5 : K_0

o5 = {{1}, {2}, {3}}

o5 : List

i6 : K_(-1)

o6 = {{}}

o6 : List

Ways to use this method:

AbstractSimplicialComplex _ ZZ -- the $k$ faces of a simplicial complex

The source of this document is in AbstractSimplicialComplexes.m2:929:0.