Geodesic
Semicoverings: a generalization of covering space theory
Homology, homotopy, and applications, Tome 14 (2012) no. 1, pp. 33-63.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2012.v14.n1.a3
Classification : 55Q52, 57M10
Keywords: covering map, groupoid, topological fundamental group, topological group 
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Jeremy Brazas. Semicoverings: a generalization of covering space theory. Homology, homotopy, and applications, Tome 14 (2012) no. 1, pp. 33-63. doi : 10.4310/HHA.2012.v14.n1.a3. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n1.a3/

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