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Title: On non-Baire rare sets in category bases (English)
Author: Basu, Sanjib
Author: Pramanik, Abhit Chandra
Language: English
Journal: Mathematica Bohemica
ISSN: 0011-4642
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 151
Issue: 2
Year: 2026
Pages: 213-219
Summary lang: English
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Category: math
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Summary: We deal with non-Baire rare sets in category bases which forms $\aleph _0$-independent family, where a rare set is a common generalization of both Luzin and Sierpinski set. (English)
Keyword: point-meager Baire base
Keyword: countable chain condition
Keyword: rare set
Keyword: strictly $\aleph _0$-independent family
Keyword: cofinality of cardinals
Keyword: Ulam matrix
MSC: 03E10
MSC: 03E50
MSC: 28A05
MSC: 54A05
MSC: 54E52
DOI: 10.21136/MB.2025.0032-24
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Date available: 2026-05-19T08:21:29Z
Last updated: 2026-05-19
Stable URL: http://hdl.handle.net/10338.dmlcz/153620
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