Strongly cellular subsets of $E^3$
نویسندگان
چکیده
منابع مشابه
Strongly 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: Fundamenta Mathematicae
سال: 1973
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-80-3-207-212