Characterizations of $z$-Lindelöf spaces
Archivum mathematicum, Tome 53 (2017) no. 2, pp. 93-99
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A topological space $(X, \tau )$ is said to be $z$-Lindelöf [1] if every cover of $X$ by cozero sets of $(X,\tau )$ admits a countable subcover. In this paper, we obtain new characterizations and preservation theorems of $z$-Lindelöf spaces.
DOI :
10.5817/AM2017-2-93
Classification :
54C05, 54C08, 54C10
Keywords: cozero set; $\omega $-open set; Lindelöf; $z$-Lindelöf
Keywords: cozero set; $\omega $-open set; Lindelöf; $z$-Lindelöf
@article{10_5817_AM2017_2_93,
author = {Al-Omari, Ahmad and Noiri, Takashi},
title = {Characterizations of $z${-Lindel\"of} spaces},
journal = {Archivum mathematicum},
pages = {93--99},
publisher = {mathdoc},
volume = {53},
number = {2},
year = {2017},
doi = {10.5817/AM2017-2-93},
mrnumber = {3672783},
zbl = {06770054},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2017-2-93/}
}
TY - JOUR AU - Al-Omari, Ahmad AU - Noiri, Takashi TI - Characterizations of $z$-Lindelöf spaces JO - Archivum mathematicum PY - 2017 SP - 93 EP - 99 VL - 53 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2017-2-93/ DO - 10.5817/AM2017-2-93 LA - en ID - 10_5817_AM2017_2_93 ER -
Al-Omari, Ahmad; Noiri, Takashi. Characterizations of $z$-Lindelöf spaces. Archivum mathematicum, Tome 53 (2017) no. 2, pp. 93-99. doi: 10.5817/AM2017-2-93
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