Open AccessSome cardinal characteristics related to the covering number and the uniformity of the meagre ideal
Author(s) -
Nattapon Sonpanow,
Pimpen Vejjajiva
Publication year - 2021
Publication title -
reports on mathematical logic
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.101
H-Index - 6
eISSN - 2084-2589
pISSN - 0137-2904
DOI - 10.4467/20842589rm.21.001.14373
Subject(s) - ideal (ethics) , mathematics , combinatorics , discrete mathematics , statistics , theology , epistemology , philosophy
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.