We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Computation of cubical homology, cohomology, and (co)homological operations via chain contraction.
- Authors
Pilarczyk, Paweł; Real, Pedro
- Abstract
We introduce algorithms for the computation of homology, cohomology, and related operations on cubical cell complexes, using the technique based on a chain contraction from the original chain complex to a reduced one that represents its homology. This work is based on previous results for simplicial complexes, and uses Serre's diagonalization for cubical cells. An implementation in C++ of the introduced algorithms is available at together with some examples. The paper is self-contained as much as possible, and is written at a very elementary level, so that basic knowledge of algebraic topology should be sufficient to follow it.
- Subjects
COMPUTATIONAL number theory; COHOMOLOGY theory; HOMOLOGY theory; ALGORITHMS; COMPUTER software
- Publication
Advances in Computational Mathematics, 2015, Vol 41, Issue 1, p253
- ISSN
1019-7168
- Publication type
Article
- DOI
10.1007/s10444-014-9356-1