%0 Journal Article %A Chocano Feito, Pedro José %A Alonso Morón, Manuel %A Romero Ruiz Del Portal, Francisco %T Computational approximations of compact metric spaces %D 2022 %@ 0167-2789 %U https://hdl.handle.net/20.500.14352/72054 %X 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. %~