When are two spaces homotopy equivalent?
Algebraic Topology
2025-12-25 v2
Abstract
This paper investigates sufficient and necessary conditions for the existence of a homotopy equivalence between two finite simplicial complexes from an algorithmic point of view. As a result, the conditions are formulated in terms of the underlying data of Postnikov towers for simplicial sets with so-called effective homology.
Cite
@article{arxiv.2105.10443,
title = {When are two spaces homotopy equivalent?},
author = {Mária Šimková},
journal= {arXiv preprint arXiv:2105.10443},
year = {2025}
}
Comments
It has significant overlap with 2203.00895