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.
@article{bwmeta1.element.bwnjournal-article-fmv8i1p13bwm,
author = {Robert Moore},
title = {Concerning the relation between separability and the proposition that every uncountable point set has a limit point},
journal = {Fundamenta Mathematicae},
volume = {8},
year = {1926},
pages = {189-192},
zbl = {52.0583.03},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv8i1p13bwm}
}
Moore, Robert. Concerning the relation between separability and the proposition that every uncountable point set has a limit point. Fundamenta Mathematicae, Tome 8 (1926) pp. 189-192. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv8i1p13bwm/