Computational approximations of compact metric spaces
Geometric Topology
2022-03-14 v1 Algebraic Topology
Combinatorics
Abstract
Given a compact metric space , we associate to it an inverse sequence of finite topological spaces. The inverse limit of this inverse sequence contains a homeomorphic copy of that is a strong deformation retract. We provide a method to approximate the homology groups of and other algebraic invariants. Finally, we study computational aspects and the implementation of this method.
Cite
@article{arxiv.2107.11271,
title = {Computational approximations of compact metric spaces},
author = {Pedro J. Chocano and Manuel A. Morón and Francisco R. Ruiz del Portal},
journal= {arXiv preprint arXiv:2107.11271},
year = {2022}
}