A groupoid formulation of the Baire Category Theorem

被引：0
|
作者：
Brown, Jonathan [1 ]
Clark, Lisa Orloff [2 ]
机构：
[1] Kansas State Univ, Dept Math, Manhattan, KS 66506 USA
[2] Univ Otago, Dept Math & Stat, Dunedin 9054, New Zealand
来源：
FUNDAMENTA MATHEMATICAE | 2014年 / 226卷 / 02期
关键词：
Baire Category Theorem; topologically principal groupoid; effective groupoid; Principle of Dependent Choice;
D O I：
10.4064/fm226-2-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the Baire Category Theorem is equivalent to the following: Let G be a topological groupoid such that the unit space is a complete metric space, and there is a countable cover of G by neighbourhood bisections. If G is effective, then G is topologically principal.
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页码：123 / 130
页数：8
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