Difference between revisions of "Talk:Approximate continuity"
From Encyclopedia of Mathematics
(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...") |
(already mentioned) |
||
| Line 1: | Line 1: | ||
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. [[User:Camillo.delellis|Camillo]] 08:48, 6 August 2012 (CEST) | 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. [[User:Camillo.delellis|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|Luzin criterion]]." --[[User:Boris Tsirelson|Boris Tsirelson]] 12:59, 6 August 2012 (CEST) | ||
Revision as of 10:59, 6 August 2012
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)
How to Cite This Entry:
Approximate continuity. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Approximate_continuity&oldid=27391
Approximate continuity. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Approximate_continuity&oldid=27391