Simplicial Perturbation Techniques and Effective Homology

@inproceedings{GonzlezDaz2006SimplicialPT,
  title={Simplicial Perturbation Techniques and Effective Homology},
  author={Roc{\'i}o Gonz{\'a}lez-D{\'i}az and Bel{\'e}n Medrano and Javier S{\'a}nchez-Pel{\'a}ez and Pedro Real Jurado},
  booktitle={CASC},
  year={2006}
}
In this paper, we deal with the problem of the computation of the homology of a finite simplicial complex after an “elementary simplicial perturbation” process such as the inclusion or elimination of a maximal simplex or an edge contraction. To this aim we compute an algebraic topological model that is a special chain homotopy equivalence connecting the simplicial complex with its homology (working with a field as the ground ring). 
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