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 hom-sets are endowed with similar topologies. This paper is devoted to a generalization of classical covering theory in the context of these constructions.

Keywords

covering map, groupoid, topological fundamental group, topological group

2010 Mathematics Subject Classification

55Q52, 57M10

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Published 13 July 2012