منابع مشابه
Strongly Meager Sets Do Not Form an Ideal
A set X ⊆ R is strongly meager if for every measure zero set H, X + H = R. Let SM denote the collection of strongly meager sets. We show that assuming CH, SM is not an ideal.
متن کاملStrongly Meager Sets Are Not an Ideal
A set X ⊆ R is strongly meager if for every measure zero set H, X + H = R. Let SM denote the collection of strongly meager sets. We show that assuming CH, SM is not an ideal.
متن کاملM ay 1 99 8 STRONGLY MEAGER SETS ARE NOT AN IDEAL
A set X ⊆ R is strongly meager if for every measure zero set H, X + H = R. Let SM denote the collection of strongly meager sets. We show that assuming CH, SM is not an ideal.
متن کاملStrongly meager sets of size continuum
We will construct several models where there are no strongly meager sets of size 2 ℵ 0 .
متن کاملStrongly meager sets and subsets of the plane
Let X ⊆ 2 . Consider the class of all Borel F ⊆ X × 2 with null vertical sections Fx, x ∈ X. We show that if for all such F and all null Z ⊆ X, ⋃ x∈Z Fx is null, then for all such F , ⋃ x∈X Fx 6= 2 . The theorem generalizes the fact that every Sierpiński set is strongly meager and was announced in [P]. A Sierpiński set is an uncountable subset of 2 which meets every null (i.e., measure zero) se...
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ژورنال
عنوان ژورنال: Journal of Mathematical Logic
سال: 2001
ISSN: 0219-0613,1793-6691
DOI: 10.1142/s0219061301000028