A new proof of Lusin's theorem
Volume 9 / 1927
Fundamenta Mathematicae 9 (1927), 122-123
DOI: 10.4064/fm-9-1-122-123
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.
