Transitive Properties of Ideals on Generalized Cantor Spaces
نویسنده
چکیده
In this paper we compute transitive cardinal coefficients of ideals on generalized Cantor spaces. In particular, we observe that there exists a null set A ⊆ 21 such that for every null set B ⊆ 21 we can find x ∈ 21 such that the set A ∪ (A + x) cannot be covered by any translation of the set B.
منابع مشابه
Properties of Ideals on The Generalized Cantor Spaces
We define a class of productive σ−ideals of subsets of the Cantor space 2ω and observe that both σ−ideals of meagre sets and of null sets are in this class. From every productive σ−ideal J we produce a σ−ideal Jκ of subsets of the generalized Cantor space 2κ. In particular, starting from meagre sets and null sets in 2ω we obtain meagre sets and null sets in 2κ, respectively. Then we investigate...
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تاریخ انتشار 2005