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arXiv · 2311.04132

Homotopy groups of symmetric products

Eduardo Blanco-Gómez
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Abstract

In this paper we prove that, taking $X$ a Hausdorff topological space, the homotopy groups of the spaces $SP_{m}(X)$ and $F_{m}(X)$, both called symmetric products, are monomorphic. We also introduce a new algebraic tool in topology: the discontinuous homotopy groups.

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Eduardo Blanco-Gómez. 2023-11-07. Homotopy groups of symmetric products. https://arxiv.org/abs/2311.04132

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