THE BAIRE PROPERTY IN THE REMAINDERS OF SEMITOPOLOGICAL GROUPS
2013 ◽
Vol 88
(2)
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pp. 301-308
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Keyword(s):
AbstractIt is proved that every remainder of a nonlocally compact semitopological group $G$ is a Baire space if and only if $G$ is not Čech-complete, which improves a dichotomy theorem of topological groups by Arhangel’skiǐ [‘The Baire property in remainders of topological groups and other results’, Comment. Math. Univ. Carolin. 50(2) (2009), 273–279], and also gives a positive answer to a question of Lin and Lin [‘About remainders in compactifications of paratopological groups’, ArXiv: 1106.3836v1 [Math. GN] 20 June 2011]. We also show that for a nonlocally compact rectifiable space $G$ every remainder of $G$ is either Baire, or meagre and Lindelöf.
2008 ◽
Vol 78
(1)
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pp. 171-176
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1992 ◽
Vol 45
(3)
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pp. 399-413
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2014 ◽
Vol 90
(1)
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pp. 144-148
Keyword(s):
2017 ◽
Vol 215
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pp. 1-10
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