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Talk:Approximate continuity

From Encyclopedia of Mathematics
Revision as of 06:48, 6 August 2012 by Camillo.delellis (talk | contribs) (Created page with "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 (Lebesgu...")
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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)

How to Cite This Entry:
Approximate continuity. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Approximate_continuity&oldid=27396