Lusin’s theorem

Let $A$ be a Lebesgue measurable subset of $ℝ$ and $f:A\to ℂ$ (or $f:A\to ℝ$). Then $f$ is Lebesgue measurable (http://planetmath.org/MeasurableFunctions) if and only if $f$ is almost continuous.

Title	Lusin’s theorem
Canonical name	LusinsTheorem
Date of creation	2013-03-22 16:13:48
Last modified on	2013-03-22 16:13:48
Owner	Wkbj79 (1863)
Last modified by	Wkbj79 (1863)
Numerical id	6
Author	Wkbj79 (1863)
Entry type	Theorem
Classification	msc 28A20
Related topic	MeasurableFunctions
Related topic	AlmostContinuousFunction