Using `SimplicalComplex` on a set of sets
Say I have something like this:
[{{1,2},{2,3}} , {{1,2},{3,4}}]
So I have a list of sets consisting of subsets of $1,2,...,n\space$ (in general the lists I am interested in are longer). I get these by using Subset(X,n)
. Now I want to look at the simplicial complex with facets {1,2},{2,3}
and then the simplical complex with facets {1,3},{3,6}
and so on.
Now the SimplicialComplex
command only works for lists like so:
SimplicialComplex([[0,1], [1,2], [0,2]])
See here for more info on finite simplical complexes in sage.
My question is: what is the best way to go from my set of sets to a list of lists?
More generally what is the best way to deal the fact that most enumerative combinatorics I can do in sage gives me sets but for SimplicialComplex
I need lists?