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 , or equivalently if any non-empty open of E meets D.
Lemma 1: Let
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Baire's lemma in complete metric spaces
Measurement theory and integration
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