Definition talk:Lebesgue Integral

What's $\overline{\R}$ in this context? --Prime.mover 05:24, 1 September 2009 (UTC)

BTW also suggest that "Lebesgue Integrable" has its own page, so as to keep the definitions modular and individually digestible. --Prime.mover 05:25, 1 September 2009 (UTC)

The set of extended reals, i.e., the reals plus {infinity, -infinity}. Maybe there should be a page on them. Mag487 06:10, 1 September 2009 (UTC)

There is, somewhere ... let me go and look ... --Prime.mover 06:37, 1 September 2009 (UTC)

Found it: Definition:Extended Real Number Line. --Prime.mover 06:39, 1 September 2009 (UTC)

The processing of Schilling's book has separated out all of the previously present definitions. In this process, the cohesion previously present on this page has been forfeited. (I.e., one has to click multiple times to be able to grasp the concept of Lebesgue integration, but I deem it not a big deal as anyone understanding the word 'measure' and the word '$\sigma$-algebra' should be (or get, through extensive reading) familiar with all the details anyway. But I wouldn't have problems with such a summarising page emerging again somewhere. --Lord_Farin 07:58, 20 April 2012 (EDT)

Studying Lebesgue integration is on my to-do list, but it won't be this week. Once I get to it, I will give this series of pages a proper quality-control session from the point of view of someone who doesn't know much about it. This won't happen of course till after I've finished giving the Abstract Algebra section a complete review. --prime mover 08:37, 20 April 2012 (EDT)

Excellent. I will get cracking on the quotient ring stuff now. --Lord_Farin 08:46, 20 April 2012 (EDT)