Discreteness and Homogeneity of the Topological Fundamental Group

Details Discreteness and Homogeneity of the Topological Fundamental Group Discreteness and Homogeneity of the Topological Fundamental Group

2009-04-30

arxiv.org/abs/0904.4739v1

Mathematics

General Topology

8 pages, 2 figures

Scientific paper

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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