betti_numbers(::SimplicialComplex) over a given field

[antonydellavecchia]

Extend betti_numbers function to accept optional parameter for the Field

[lgoettgens]

This line makes the whole function type unstable, and thus inefficient.
Why do you even construct a new field here, and not just use F instead in the matrix constructions below?

[antonydellavecchia]

GF(2) is slower than fpField(UInt(2))

[antonydellavecchia]

I just a change inputs to expects the characteristic instead.
maybe then I make it a keyword arg?

[HechtiDerLachs]

Maybe it would be worthwhile to add
betti_numbers(R::Ring, S::SimplicialComplex) = betti_numbers(characteristic(R), S) ?
And betti_number([p::Int], S::SimplicialComplex, i::Int) to return only a single Betti number?

Another question I had: The function returns a list of integers. Is it clear that the first entry always stands for the 0-th Betti number, the second for the first, etc.? If yes, everything is fine. But otherwise, one could think of returning a dictionary?

Sorry for the delayed review, btw. The request slipped me through. Feel free to ping me through other channels if this happens again.