Are two finite $H$-spaces homotopy equivalent?
Algebraic Topology
2024-11-18 v5
Abstract
This paper proposes an algorithm that decides if two simply connected spaces represented by finite simplicial sets of finite -type and finite dimension are homotopy equivalent. If the spaces are homotopy equivalent, the algorithm finds a homotopy equivalence between their Postnikov stages in dimension . As a consequence, we get an algorithm deciding if two spaces represented by finite simplicial sets are stably homotopy equivalent.
Cite
@article{arxiv.2203.00895,
title = {Are two finite $H$-spaces homotopy equivalent?},
author = {Mária Šimková},
journal= {arXiv preprint arXiv:2203.00895},
year = {2024}
}
Comments
Minor changes. Accepted in JTA. arXiv admin note: substantial text overlap with arXiv:2105.10443