Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 14, Number 1 (2012), 33-63.
Semicoverings: a generalization of covering space theory
Using universal constructions of topological groups, one can endow the fundamental group of a space with a topology and obtain a topological group. Additionally, the fundamental groupoid of a space becomes enriched over Top when the homsets are endowed with similar topologies. This paper is devoted to a generalization of classical covering theory in the context of these constructions.
Homology Homotopy Appl., Volume 14, Number 1 (2012), 33-63.
First available in Project Euclid: 12 December 2012
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Brazas, Jeremy. Semicoverings: a generalization of covering space theory. Homology Homotopy Appl. 14 (2012), no. 1, 33--63. https://projecteuclid.org/euclid.hha/1355321064