A characterization of spaces with discrete topological fundamental group
General Topology
2007-05-23 v1 Algebraic Topology
Abstract
We offer a counterexample to a theorem in the literature and then repair the theorem as follows: The fundamental group of a locally path connected metric space inherits the discrete topology in a natural way if and only if the underlying space is semilocally simply connected.
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Cite
@article{arxiv.math/0502249,
title = {A characterization of spaces with discrete topological fundamental group},
author = {Paul Fabel},
journal= {arXiv preprint arXiv:math/0502249},
year = {2007}
}
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5 pages