A new proof of Lusin's theorem

Cohen, Leon. "A new proof of Lusin's theorem." Fundamenta Mathematicae 9.1 (1927): 122-123. <http://eudml.org/doc/215123>.

@article{Cohen1927,
abstract = {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.},
author = {Cohen, Leon},
journal = {Fundamenta Mathematicae},
keywords = {funkcja mierzalna; twierdzenie Lusina; analiza matematyczna; funkcja ciągła},
language = {eng},
number = {1},
pages = {122-123},
title = {A new proof of Lusin's theorem},
url = {http://eudml.org/doc/215123},
volume = {9},
year = {1927},
}

TY - JOUR
AU - Cohen, Leon
TI - A new proof of Lusin's theorem
JO - Fundamenta Mathematicae
PY - 1927
VL - 9
IS - 1
SP - 122
EP - 123
AB - 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.
LA - eng
KW - funkcja mierzalna; twierdzenie Lusina; analiza matematyczna; funkcja ciągła
UR - http://eudml.org/doc/215123
ER -