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Transitive Properties of Ideals on Generalized Cantor Spaces

Jan Kraszewski — 2004

Bulletin of the Polish Academy of Sciences. Mathematics

We compute transitive cardinal coefficients of ideals on generalized Cantor spaces. In particular, we show that there exists a null set A ⊆ 2 ω ₁ such that for every null set B ⊆ 2 ω ₁ we can find x ∈ 2 ω ₁ such that A ∪ (A+x) cannot be covered by any translation of B.

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