Geodesic
A groupoid formulation of the Baire Category Theorem
Jonathan Brown1 ; Lisa Orloff Clark2
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
Fundamenta Mathematicae, Tome 226 (2014) no. 2, pp. 123-130

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm226-2-2
Keywords: prove baire category theorem equivalent following topological groupoid unit space complete metric space there countable cover neighbourhood bisections effective topologically principal

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

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