Homology, Homotopy and Applications

Semicoverings: a generalization of covering space theory

Jeremy Brazas

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Abstract

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.

Article information

Source
Homology Homotopy Appl., Volume 14, Number 1 (2012), 33-63.

Dates
First available in Project Euclid: 12 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.hha/1355321064

Mathematical Reviews number (MathSciNet)
MR2954666

Zentralblatt MATH identifier
1244.57010

Subjects
Primary: 57M10: Covering spaces 55Q52: Homotopy groups of special spaces

Keywords
Covering map groupoid topological fundamental group topological group

Citation

Brazas, Jeremy. Semicoverings: a generalization of covering space theory. Homology Homotopy Appl. 14 (2012), no. 1, 33--63. https://projecteuclid.org/euclid.hha/1355321064


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