Polyhedral expansions of compacta associated to finite approximations
Geometric Topology
2021-10-25 v1 Algebraic Topology
Abstract
This paper introduces some inverse sequences of different polyhedra all based on finite approximations of a compact metric space so they can be used to capture the shape type of the original space. It is shown that they are HPol-expansions, proving the so-called General Principle. We use these sequences to compute explicitly some inverse persistent homology groups of a space and measure its errors in the approximation process.
Keywords
Cite
@article{arxiv.2110.11928,
title = {Polyhedral expansions of compacta associated to finite approximations},
author = {Diego Mondéjar},
journal= {arXiv preprint arXiv:2110.11928},
year = {2021}
}