makeHomotopiesOnHomology -- Homology of a complex as exterior module

Synopsis

Usage:

(H,h) = makeHomotopiesOnHomology(ff, C)
Inputs:
- ff, a matrix, matrix of elements homotopic to 0 on C
- C, a chain complex,
Outputs:
- H, a hash table, Homology of C, indexed by places in the C
- h, a hash table, homotopies for elements of f on the homology of C

The script calls makeHomotopies1 to produce homotopies for the ff_i on C, and then computes their action on the Homology of C.