A groupoid formulation of the Baire Category Theorem

Jonathan Henry Brown; Lisa Orloff Clark

arxiv: 1209.2912 · v1 · pith:GBFFSDCQnew · submitted 2012-09-12 · 🧮 math.GN · math.LO· math.OA

A groupoid formulation of the Baire Category Theorem

Jonathan Henry Brown , Lisa Orloff Clark This is my paper

classification 🧮 math.GN math.LOmath.OA

keywords bairecategorygroupoidspacetheorembisectionscompletecountable

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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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A groupoid formulation of the Baire Category Theorem

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