Homotopy groups of symmetric products

Published 7 Nov 2023 in math.AT | (2311.04132v1)

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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Authors (1)

Eduardo Blanco-Gómez

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