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Title: Some topological properties of $\omega$-covering sets (English)
Author: Nowik, Andrzej
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 50
Issue: 4
Year: 2000
Pages: 865-877
Summary lang: English
Category: math
Summary: We prove the following theorems: There exists an ${\omega }$-covering with the property $s_0$. Under $\mathop {\mathrm cov}\nolimits ({\mathcal N}) = $ there exists $X$ such that $ \forall _{B \in {\mathcal B}or} [B\cap X$ is not an ${\omega }$-covering or $X\setminus B$ is not an ${\omega }$-covering]. Also we characterize the property of being an ${\omega }$-covering. (English)
Keyword: ${\omega }$-covering set
Keyword: ${\mathcal E}$
Keyword: hereditarily nonparadoxical set
MSC: 03E15
MSC: 03E20
MSC: 28A05
MSC: 28E15
idZBL: Zbl 1079.03547
idMR: MR1792976
Date available: 2009-09-24T10:38:39Z
Last updated: 2020-07-03
Stable URL:
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