Homology, Homotopy and Applications
Volume 5 (2003)
Volume of a Workshop at Stanford University
Pages: 233 – 256
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.
homology computation, algorithm, cubical complex, representable set, mulitivalued map
2010 Mathematics Subject Classification
, 65D17. Primary 55-04. Secondary 52B05, 54C60.