Computational approximations of compact metric spaces

Chocano Feito, Pedro José; Alonso Morón, Manuel; Romero Ruiz Del Portal, Francisco

Computational approximations of compact metric spaces

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Official URL

https://doi.org/10.1016/j.physd.2022.133168

Publication date

2022

Authors

Chocano Feito, Pedro José

Alonso Morón, Manuel

Romero Ruiz Del Portal, Francisco

Publisher

Elsevier

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URI

https://hdl.handle.net/20.500.14352/72054

Citation

Chocano Feito, P. J., Alonso Morón, M., Romero Ruiz Del Portal, F. «Computational Approximations of Compact Metric Spaces». Physica D: Nonlinear Phenomena, vol. 433, mayo de 2022, p. 133168. DOI.org (Crossref), https://doi.org/10.1016/j.physd.2022.133168.

Abstract

Given a compact metric space X, we associate to it an inverse sequence of finite T0 topological spaces. The inverse limit of this inverse sequence contains a homeomorphic copy of X that is a strong deformation retract. We provide a method to approximate the homology groups of X and other algebraic invariants. Finally, we study computational aspects and the implementation of this method.