On certain "weak" properties of vector-valued functions
A. Alexiewicz (1958)
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A. Alexiewicz (1958)
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A. Alexiewicz (1953)
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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.
S. Taylor (1960)
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