Person:
Chocano Feito, Pedro José

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First Name
Pedro José
Last Name
Chocano Feito
URI
https://hdl.handle.net/20.500.14352/86984
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Álgebra, Geometría y Topología
Area
Álgebra
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Author: Romero Ruiz Del Portal, Francisco × Subject: 512 ×

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    Computational approximations of compact metric spaces
    (Physica D: nonlinear phenomena, 2022) Chocano Feito, Pedro José; Alonso Morón, Manuel; Romero Ruiz Del Portal, Francisco
    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.