Chocano Feito, Pedro JoséAlonso Morón, ManuelRomero Ruiz Del Portal, Francisco2023-06-222023-06-222022-02-12Chocano 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.2022.133168.0167-278910.1016/j.physd.2022.133168https://hdl.handle.net/20.500.14352/72054Given 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.engjournal articlehttps://doi.org/10.1016/j.physd.2022.133168open access512515.1Finite topological spacesCompact metric spacesApproximationHomotopyHomology groupsÁlgebraTopología1201 Álgebra1210 Topología