Concerning the relation between separability and the proposition that every uncountable point set has a limit point
Volume 8 / 1926
Fundamenta Mathematicae 8 (1926), 189-192
DOI: 10.4064/fm-8-1-189-192
Abstract
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.
