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Der Hilbertsche Raum als Urbild der metrischen Räume. (German) JFM 50.0128.05
Jeder metrische Raum mit abzählbarer dichter Teilmenge (also insbesondere jeder kompakte metrische Raum) ist einer Teilmenge des Hilbertschen Raumes homöomorph.

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References:
[1] Hausdorff,Grundzugen der Mengelehre, l. c. S. 211.
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