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arXiv · 2203.00895

Are two finite $H$-spaces homotopy equivalent?

Mária Šimková
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Abstract

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.

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Mária Šimková. 2022-03-02. Are two finite $H$-spaces homotopy equivalent?. https://doi.org/10.1142/s1793525323500437

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