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Simplicial perturbation techniques and effective homology


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Author: González Díaz, Rocío
Medrano Garfia, Belén
Sánchez Peláez, Javier
Real Jurado, Pedro
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I
Date: 2006
Published in: Computer Algebra in Scientific Computing, Lecture Notes in Computer Science, Vol. 4194 p. 166-177
Document type: Chapter of Book
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 a special chain homotopy equivalence connecting the simplicial complex with its homology (working with a field as the ground ring).
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