Simplicial Perturbation Techniques and Effective
by Rocio Gonzalez-díaz, Belén Medrano, Javier Sánchez-peláez, Pedro Real
http://www.personal.us.es/rogodi/html/research/../../doc/casc0610.pdf
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Abstract:
Abstract. 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 an special chain homotopy equivalence connecting the simplicial complex with its homology (working with a field as the ground ring). 1
Citations
| 68 | An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere – Delfinado, Edelsbrunner - 1995 |
| 23 | Perturbation theory in differential homological algebra – Gugenheim, Lambe - 1989 |
| 21 | Small models for chain algebras – Huebschmann, Kadeishvili - 1991 |
| 12 | Homological Perturbation Theory and Associativity – Real - 2000 |
| 10 | The computability problem in algebraic topology – Sergeraert - 1994 |
| 6 | P.: Towards Digital Cohomology – González–Díaz, Real - 2003 |
| 2 | P.: On the Cohomology of 3D – González–Díaz, Real - 2005 |
| 2 | Sánchez-Peláez J.: Algebraic Topological Analysis of Time-Sequence of Digital Images – Gonzalez-Diaz, Medrano, et al. - 2005 |

