Are two finite $H$-spaces homotopy equivalent?

Autor:	Šimková, Mária
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Topology
Druh dokumentu:	Working Paper
Popis:	This paper proposes an algorithm that decides if two simply connected spaces represented by finite simplicial sets of finite $k$-type and finite dimension $d$ are homotopy equivalent. If the spaces are homotopy equivalent, the algorithm finds a homotopy equivalence between their Postnikov stages in dimension $d$. As a consequence, we get an algorithm deciding if two spaces represented by finite simplicial sets are stably homotopy equivalent. Comment: No changes. Accepted in JTA. arXiv admin note: substantial text overlap with arXiv:2105.10443
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.00895 Zobrazit plný text záznamu View this record from Arxiv