# Big-list of classical facts

When we type an answer, we need sometimes classical facts, which will be long to expand and are well-known.

For example, a bounded measurable function can be approached uniformly by simple functions, or the fact that convergence in $L^p$ implies convergence almost everywhere of a sub-sequence.

I suggest to write in the answers a collection of these facts by fields (like "measure-theory", "real-analysis", etc...) including the fact and a link on the site to a question which deals with it. Since these fields are far from being disjoint, a same fact could belong to several answers.

The point is that if someone is looking for a proof of a fact, he/she will include a link in his/her answer after having found it in this page.

• I think it should be CW, but I don't see how to do it. – Davide Giraudo Apr 14 '13 at 10:41
• I don't think this should be on the meta site; and I also don't really think that we need this. One can cite "classical facts" and if anyone wants to know more about these facts, one can ask a separate question and receive an answer (or ask in the comments, in some cases). – Asaf Karagila Apr 14 '13 at 10:43
• Most are also on wikipedia, which can be linked to of course! – Thomas Rot Apr 14 '13 at 12:17
• while I think this is an intersting idea, I think it'd be quite hard to make it work in reality – Lost1 Apr 14 '13 at 12:20

• @Will WTF?!?${}{}$ – Michael Greinecker Apr 14 '13 at 21:33