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When are two spaces homotopy equivalent?

2021/05/21 by Mária Šimková, Šimková, Mária
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2105.10443

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.

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