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Homotopy lifting property in symmetric products

Published 28 Feb 2020 in math.AT | (2002.12679v3)

Abstract: In this paper we prove the homotopy lifting property for symmetric products $SP_{m}(X)$ and $F_{m}(X)$, with $X$ a Hausdorff topological space. Furthermore, we introduce a new tool, the theory of topological puzzles, to get a useful decomposition of $X{m}$.

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