Simplicial Perturbation Techniques and Effective Homology

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).

• Type: Conference
• Year: 2006
• Where: CASC
• Authors: Rocío González-Díaz, Belén Medrano, Javier Sánchez-Peláez, Pedro Real
• Keywords: CASC 2006, Elementary Simplicial Perturbation, Finite Simplicial Complex, Mathematics, Simplicial Complex