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

Moore, Robert. "Concerning the relation between separability and the proposition that every uncountable point set has a limit point." Fundamenta Mathematicae 8.1 (1926): 189-192. <http://eudml.org/doc/214864>.

@article{Moore1926,
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.},
author = {Moore, Robert},
journal = {Fundamenta Mathematicae},
keywords = {punkt kondensacji; przestrzeń metryczna; przestrzeń ośrodkowa; punkt skupienia},
language = {eng},
number = {1},
pages = {189-192},
title = {Concerning the relation between separability and the proposition that every uncountable point set has a limit point},
url = {http://eudml.org/doc/214864},
volume = {8},
year = {1926},
}

TY - JOUR
AU - Moore, Robert
TI - Concerning the relation between separability and the proposition that every uncountable point set has a limit point
JO - Fundamenta Mathematicae
PY - 1926
VL - 8
IS - 1
SP - 189
EP - 192
AB - 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.
LA - eng
KW - punkt kondensacji; przestrzeń metryczna; przestrzeń ośrodkowa; punkt skupienia
UR - http://eudml.org/doc/214864
ER -