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Semicoverings: a generalization of covering space theory

Published 15 Aug 2011 in math.AT and math.GN | (1108.3021v2)

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.

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