Concerning the relation between separability and the proposition that every uncountable point set has a limit point

Tom 8 / 1926

Robert Moore Fundamenta Mathematicae 8 (1926), 189-192 DOI: 10.4064/fm-8-1-189-192

Streszczenie

The purpose of this paper is to establish two theorems: Theoreme: In order that every subclass of a given class D of Fréchet should be separable it is necessary and sufficient that every uncountable subclass of that class D should have a limit point. Theoreme: If D_s is a separable class D then every uncountable subclass of D_s contains a point of condensation.

Autorzy

  • Robert Moore

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