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...

Full description

Saved in:
Bibliographic Details
Published inReports on mathematical logic Vol. 56; no. 56; pp. 3 - 14
Main Authors Sonpanow, Nattapon, Vejjajiva, Pimpen
Format Journal Article
LanguageEnglish
Published Kraków Wydawnictwo Uniwersytetu Jagiellońskiego 2021
Jagiellonian University Press
Jagiellonian University-Jagiellonian University Press
Subjects
Logic
Permutations
uniformity
covering number
cardinal characteristic
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0137-2904
2084-2589
DOI:10.4467/20842589RM.21.001.14373