Multivalued mappings and Filippov's operation
Jiří Jarník (1981)
Czechoslovak Mathematical Journal
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Jiří Jarník (1981)
Czechoslovak Mathematical Journal
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S. Taylor (1959)
Fundamenta Mathematicae
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Roy O. Davies (1973)
Matematický časopis
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Jaroslav Pelant (1976)
Časopis pro pěstování matematiky
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Josef Bukac (2007)
Mathematica Slovaca
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Leon Cohen (1927)
Fundamenta Mathematicae
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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.