Analogues of the Denjoy-Young-Saks Theorem
نویسندگان
چکیده
منابع مشابه
Unconditional convergence and the Vitali-Hahn-Saks theorem
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15 صفحه اولDenjoy, Demuth, and Density
We consider effective versions of two classical theorems, the Lebesgue density theorem and the Denjoy-Young-Saks theorem. For the first, we show that a Martin-Löf random real z ∈ [0, 1] is Turing incomplete if and only if every effectively closed class C ⊆ [0, 1] containing z has positive density at z. Under the stronger assumption that z is not LR-hard, we show that every such class has densit...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1982
ISSN: 0002-9947
DOI: 10.2307/1998764