A groupoid formulation of the Baire Category Theorem

Jonathan Henry Brown; Lisa Orloff Clark

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arXiv · 1209.2912

A groupoid formulation of the Baire Category Theorem

Jonathan Henry Brown·Lisa Orloff Clark

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Abstract

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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Jonathan Henry Brown, Lisa Orloff Clark. 2012-09-12. A groupoid formulation of the Baire Category Theorem. https://arxiv.org/abs/1209.2912

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