Some cardinal characteristics related to the covering number and the uniformity of the meagre ideal
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RIS BIB ENDNOTESome cardinal characteristics related to the covering number and the uniformity of the meagre ideal
Publication date: 10.11.2021
Reports on Mathematical Logic, 2021, Number 56, pp. 3-14
https://doi.org/10.4467/20842589RM.21.001.14373Authors
Some cardinal characteristics related to the covering number and the uniformity of the meagre ideal
We extend the concepts of splitting, reaping, and independent families to families of functions and permutations on ω and define associated cardinal characteristics sf , sp, rf , rp, if , and ip. We study relationships among cov(M), non(M), and these cardinals. In this paper, we show that sf = non(M) = sp, rf = cov(M) ≤ rp, and cov(M) ≤ if , ip.
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Information: Reports on Mathematical Logic, 2021, Number 56, pp. 3-14
Article type: Original article
Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand
Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand
Published at: 10.11.2021
Received at: 12.07.2020
Article status: Open
Licence: CC BY-NC-ND
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