A characterization of spaces with discrete topological fundamental group

Details A characterization of spaces with discrete topological fundamental group A characterization of spaces with discrete topological fundamental group

2005-02-11

arxiv.org/abs/math/0502249v1

Mathematics

General Topology

5 pages

Scientific paper

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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