English

Semicoverings: a generalization of covering space theory

Algebraic Topology 2012-04-30 v2 General Topology

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.

Keywords

Cite

@article{arxiv.1108.3021,
  title  = {Semicoverings: a generalization of covering space theory},
  author = {Jeremy Brazas},
  journal= {arXiv preprint arXiv:1108.3021},
  year   = {2012}
}

Comments

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