Article | REF: AF99 V1

Topology and measurement

Author: Gilles GODEFROY

Publication date: April 10, 2003

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3. Baire's lemma in complete metric spaces

The following lemma was proved by R. Baire, in the context of spaces , shortly before 1900. Baire's proof extends easily to the general case.

A part D of a metric space E is dense if

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Baire's lemma in complete metric spaces