1Mathematics Department Kansas State University 138 Cardwell Hall Manhattan, KS 66506-2602, U.S.A. 2Department of Mathematics and Statistics University of Otago P.O. Box 56, Dunedin 9054, New Zealand
Fundamenta Mathematicae, Tome 226 (2014) no. 2, pp. 123-130
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.
Keywords:
prove baire category theorem equivalent following topological groupoid unit space complete metric space there countable cover neighbourhood bisections effective topologically principal
Affiliations des auteurs :
Jonathan Brown
1
;
Lisa Orloff Clark
2
1
Mathematics Department Kansas State University 138 Cardwell Hall Manhattan, KS 66506-2602, U.S.A.
2
Department of Mathematics and Statistics University of Otago P.O. Box 56, Dunedin 9054, New Zealand
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Jonathan Brown; Lisa Orloff Clark. A groupoid formulation of the Baire Category Theorem. Fundamenta Mathematicae, Tome 226 (2014) no. 2, pp. 123-130. doi: 10.4064/fm226-2-2
