@article{451,
  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 http://www.pawelpilarczyk.com/chaincon/ 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.},
  author       = {Pilarczyk, Pawel and Real, Pedro},
  issn         = {1572-9044},
  journal      = {Advances in Computational Mathematics},
  number       = {1},
  pages        = {253 -- 275},
  publisher    = {Kluwer},
  title        = {{Computation of cubical homology, cohomology, and (co)homological operations via chain contraction}},
  doi          = {10.1007/s10444-014-9356-1},
  volume       = {41},
  year         = {2014},
}

