Talk:Approximate continuity

In the western literature Luzin is mostly spelled Lusin. Moreover Lusin's theorem is in general used for the following result in classical measure theory: for any (Lebesgue) measurable function $f:E\to \mathbb R$ and any $\varepsilon > 0$ there is a closed subset $F\subset E$ with $\lambda (E\setminus F) <\varepsilon$ such that $f|_F$ is continuous. This is not consistent with the current entry Luzin theorem. I will however take care of this sometimes later. Camillo 08:48, 6 August 2012 (CEST)

But I see near the end of the article: "In the West, the name "Luzin theorem" refers almost always to a result in measure theory; see Luzin criterion." --Boris Tsirelson 12:59, 6 August 2012 (CEST)