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arXiv · 2105.10443

When are two spaces homotopy equivalent?

Mária Šimková
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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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Mária Šimková. 2021-05-21. When are two spaces homotopy equivalent?. https://arxiv.org/abs/2105.10443

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