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December 2001 Discretely star-Lindelöf spaces
Yan-Kui Song
Tsukuba J. Math. 25(2): 371-382 (December 2001). DOI: 10.21099/tkbjm/1496164294

Abstract

A space $X$ is called (discretely) star-Lindelöf if for every open cover $\mathscr{U}$ of $X$, there exists a (discrete closed) countable subset $B$ of $X$ such that $St(B, \mathscr{U}) = X$. We investigate the relationship between these spaces and $\omega_{1}$-compact spaces, and also study topological properties of discretely star-Lindelöf spaces.

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Yan-Kui Song. "Discretely star-Lindelöf spaces." Tsukuba J. Math. 25 (2) 371 - 382, December 2001. https://doi.org/10.21099/tkbjm/1496164294

Information

Published: December 2001
First available in Project Euclid: 30 May 2017

zbMATH: 1011.54020
MathSciNet: MR1869769
Digital Object Identifier: 10.21099/tkbjm/1496164294

Rights: Copyright © 2001 University of Tsukuba, Institute of Mathematics

Vol.25 • No. 2 • December 2001
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