SEMICOVERINGS: A GENERALIZATION OF COVERING SPACE THEORY

被引：18

作者：

Brazas, Jeremy ^{[1
]}

机构：

[1] Univ New Hampshire, Dept Math & Stat, Durham, NH 03824 USA

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2012年 / 14卷 / 01期

关键词：

covering map; groupoid; topological fundamental group; topological group; GROUPOIDS;

D O I：

10.4310/HHA.2012.v14.n1.a3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：33 / 63

页数：31

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