Discreteness and Homogeneity of the Topological Fundamental Group

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For a locally path connected topological space, the topological fundamental group is discrete if and only if the space is semilocally simply-connected. While functoriality of the topological fundamental group for arbitrary topological spaces remains an open question, the topological fundamental group is always a homogeneous space.
8 pages, 2 figures

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General Topology, Algebraic Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/228953

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.4739
 http://arxiv.org/abs/0904.4739

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arXiv