Computational approximations of compact metric spaces

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Chocano Feito, Pedro José and Morón, Manuel A. and Ruiz del Portal, Francisco R. (2022) Computational approximations of compact metric spaces. Physica D: nonlinear phenomena, 433 . ISSN 0167-2789

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Official URL: 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.


Item Type:Article
Uncontrolled Keywords:Finite topological spaces; Compact metric spaces; Approximation, Homotopy; Homology groups
Subjects:Sciences > Mathematics > Algebra
Sciences > Mathematics > Topology
ID Code:74752
Deposited On:23 Sep 2022 12:34
Last Modified:26 Sep 2022 07:28

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