Computing homology
Tomasz Kaczyński, Konstantin Mischaikow, Marian Mrożek · Homology Homotopy and Applications · 2003
The aim of this paper is to provide a short introduction to computational homology based on cubical complexes.The discussed topics include cubical complexes, a reduction algorithm for computing homology of finitely generated chain complexes, and an algorithmic construction of homology of continuous maps via multivalued acyclic representations.