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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On two-cardinal properties of ideals


Author: Jacek Cichoń
Journal: Trans. Amer. Math. Soc. 314 (1989), 693-708
MSC: Primary 04A15; Secondary 03E35, 28A05
MathSciNet review: 1005527
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Abstract: We investigate two-cardinal properties of ideals. These properties involve notions such as Luzin sets, special coverings, etc. We apply our results to the ideals of meagre sets and of negligible sets in the real line. In case of the negligible sets, we relate these properties to caliber and precalibers of the measure algebra.


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DOI: https://doi.org/10.1090/S0002-9947-1989-1005527-X
Keywords: Set theory, ideal, Lebesgue measure, category, boolean algebras, cardinal numbers
Article copyright: © Copyright 1989 American Mathematical Society