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arXiv · 0904.4739

Discreteness and Homogeneity of the Topological Fundamental Group

Jack S. Calcut·John D. McCarthy
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Abstract

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.

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Jack S. Calcut, John D. McCarthy. 2009-04-30. Discreteness and Homogeneity of the Topological Fundamental Group. https://arxiv.org/abs/0904.4739

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