# Wydawnictwa / Czasopisma IMPAN / Fundamenta Mathematicae / Wszystkie zeszyty

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

### Tom 8 / 1926

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.

• Robert Moore

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