Dualization conjecture for the Raisonnier ideal and the null ideal
Dualization conjecture for the Raisonnier ideal and the null ideal
Let be the Raisonnier ideal, let be the null ideal, and write and for their covering and cofinality numbers. Let denote the dominating number.
Dualization conjecture.
Consequently,
This conjecture proposes a dual form of the paper's lemma asserting that the additivity of the null ideal is at most the uniformity of the Raisonnier ideal. Its resolution would clarify the relationship between cardinal characteristics associated with the Raisonnier ideal and Lebesgue null sets.
Sources & referencesView supporting material
Primary source
Spyridon Dialiatsis and Yurii Khomskii, “Combinatorial Properties of the Raisonnier Filter”, arXiv:2602.23340 (2026).
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