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Your search keyword '"Medrano Garfia, Belén"' showing total 2 results
Start Over Author "Medrano Garfia, Belén" Topic mathematics::k-theory and homology
2 results on '"Medrano Garfia, Belén"'

1. Integral operators for computing homology generators at any dimension

Author

González Díaz, Rocío, Jiménez Rodríguez, María José, Medrano Garfia, Belén, Real Jurado, Pedro, Molina Abril, Helena, and Universidad de Sevilla. Departamento de Matemática Aplicada I

Subjects
Integer homology generators, Mathematics::K-Theory and Homology, TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Mathematics::Algebraic Topology, chain homotopies
Abstract

Starting from an nD geometrical object, a cellular subdivision of such an object provides an algebraic counterpart from which homology information can be computed. In this paper, we develop a process to drastically reduce the amount of data that represent the original object, with the purpose of a subsequent homology computation. The technique applied is based on the construction of a sequence of elementary chain homotopies (integral operators) which algebraically connect the initial object with a simplified one with the same homological information than the former.

Published
2008

2. Simplicial perturbation techniques and effective homology

Author

González Díaz, Rocío, Medrano Garfia, Belén, Sánchez Peláez, Javier, Real Jurado, Pedro, and Universidad de Sevilla. Departamento de Matemática Aplicada I

Subjects
Algorithm Analysis and Problem Complexity, Mathematics::K-Theory and Homology, Math Applications in Computer Science, Mathematics::Category Theory, Discrete Mathematics in Computer Science, Mathematics::Algebraic Topology, Programming Techniques, Algorithms, Symbolic and Algebraic Manipulation
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).

Published
2006

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