Some results on semi-stratifiable spaces

Some results on semi-stratifiable spaces

We study relationships between separability with other properties in semi-stratifiable spaces. Especially, we prove the following statements: (1) If $X$ is a semi-stratifiable space, then $X$ is separable if and only if $X$ is $DC(ømega_1)$; (2) If $X$ is a star countable extent semi-stratifiable...

Full description

Bibliographic Details
Main Authors: Wei-Feng Xuan, Yan-Kui Song
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2019-07-01
Series:Mathematica Bohemica
Subjects:
semi-stratifiable space
separable space
dense subset
feebly compact space
$ømega$-monolithic space
property $DC(ømega_1)$
star countable extent space
cardinal equality
countable chain condition
perfect space
$G^*_\delta$-diagonal
Online Access:http://mb.math.cas.cz/full/144/2/mb144_2_1.pdf

Internet

http://mb.math.cas.cz/full/144/2/mb144_2_1.pdf

Similar Items