# makeHomotopiesOnHomology -- Homology of a complex as exterior module

## Synopsis

• Usage:
(H,h) = makeHomotopiesOnHomology(ff, C)
• Inputs:
• ff, , matrix of elements homotopic to 0 on C
• C, ,
• Outputs:
• H, , Homology of C, indexed by places in the C
• h, , homotopies for elements of f on the homology of C

## Description

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

## Ways to use makeHomotopiesOnHomology :

• "makeHomotopiesOnHomology(Matrix,ChainComplex)"

## For the programmer

The object makeHomotopiesOnHomology is .