Difference between revisions of "Talk:Measurable space"
From Encyclopedia of Mathematics
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I am afraid, this page is rather obsolete. Nowadays it should be a σ-algebra. If you mean rather a ring etc., then you have to make a reservation. Any objections? I'll wait some days, and if no one will object, I'll change the article accordingly. --[[User:Boris Tsirelson|Boris Tsirelson]] 16:38, 1 December 2011 (CET) | I am afraid, this page is rather obsolete. Nowadays it should be a σ-algebra. If you mean rather a ring etc., then you have to make a reservation. Any objections? I'll wait some days, and if no one will object, I'll change the article accordingly. --[[User:Boris Tsirelson|Boris Tsirelson]] 16:38, 1 December 2011 (CET) | ||
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| + | In fact, the article is also erroneous. A σ-ring (according to the cited book by Halmos, see page 24) is closed under the formation of countable unions. Therefore the (measurable) sets of finite Lebesgue measure are not a σ-ring. --[[User:Boris Tsirelson|Boris Tsirelson]] 18:28, 20 December 2011 (CET) | ||
Revision as of 17:28, 20 December 2011
I am afraid, this page is rather obsolete. Nowadays it should be a σ-algebra. If you mean rather a ring etc., then you have to make a reservation. Any objections? I'll wait some days, and if no one will object, I'll change the article accordingly. --Boris Tsirelson 16:38, 1 December 2011 (CET)
In fact, the article is also erroneous. A σ-ring (according to the cited book by Halmos, see page 24) is closed under the formation of countable unions. Therefore the (measurable) sets of finite Lebesgue measure are not a σ-ring. --Boris Tsirelson 18:28, 20 December 2011 (CET)
How to Cite This Entry:
Measurable space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Measurable_space&oldid=19850
Measurable space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Measurable_space&oldid=19850