Semicoverings: a generalization of covering space theory

Abstract

The fundamental groupoid of a space becomes enriched over the category of topological spaces when the hom-sets are endowed with topologies intimately related to universal constructions of topological groups. This paper is devoted to a generalization of classical covering theory in the context of this construction.

arXiv comment21 pages, v2 states a much stronger classification in terms of equivalences of categories