Discreteness and Homogeneity of the Topological Fundamental Group
General Topology
2009-05-01 v1 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.0904.4739,
title = {Discreteness and Homogeneity of the Topological Fundamental Group},
author = {Jack S. Calcut and John D. McCarthy},
journal= {arXiv preprint arXiv:0904.4739},
year = {2009}
}
Comments
8 pages, 2 figures