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Sur les espaces métriques localement séparables. - MaRDI portal

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Sur les espaces métriques localement séparables. (Q2622197)

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Sur les espaces métriques localement séparables.
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    Sur les espaces métriques localement séparables. (English)
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    1933
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    Verf. beweist den Satz: Ein metrischer Raum ist dann und nur dann lokal separabel, wenn er Summe von punktfremden, offenen, separablen Mengen ist. Hieraus folgt, daß\ jeder metrische, lokal separable, zusammenhängende Raum separabel ist. Weitere Anwendungen des obigen Satzes beziehen sich auf lokal analytische und lokal \textit{Borel}sche Teilmengen eines lokal separablen metrischen Raumes.
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