A new proof of Lusin's theorem
Cohen, Leon
Fundamenta Mathematicae, Tome 10 (1927), p. 122-123 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1927-01-01
EUDML-ID : urn:eudml:doc:215123 
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     title = {A new proof of Lusin's theorem},
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     year = {1927},
     pages = {122-123},
     zbl = {53.0242.03},
     language = {en},
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Cohen, Leon. A new proof of Lusin's theorem. Fundamenta Mathematicae, Tome 10 (1927) pp. 122-123. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv9i1p12bwm/