Sequences of measurable functions
Elżbieta Wagner (1981)
Fundamenta Mathematicae
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Displaying similar documents to “On the classification of σ(B)-measurable functions defined on an abstract point set”
Sequences of measurable functions
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A new proof of Lusin's theorem
Leon Cohen (1927)
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The purpose of this paper is to give a new proof of the following Lusin's theorem: Théorème: If f(x) is a measurable function defined on the interval I: 0 ≤ x ≤ 1, then for every ϵ > 0 there is a set A ⊂ I such that f(x) is continuous on A and m(I-A) < ϵ.