A groupoid formulation of the Baire Category Theorem

• Autorzy: Jonathan Brown , Lisa Orloff Clark
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54E52: Baire category, Baire spaces
• 03E25: Axiom of choice and related propositions
• 22A22: Topological groupoids (including differentiable and Lie groupoids)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 226
• Numer: 2
• Strony: 123-130

Daty

wydano

2014

Twórcy

autor

Jonathan Brown

• Mathematics Department, Kansas State University, 138 Cardwell Hall, Manhattan, KS 66506-2602, U.S.A.

autor

Lisa Orloff Clark

• Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin 9054, New Zealand

Identyfikatory

DOI

10.4064/fm226-2-2