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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.

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  • $\begingroup$ I think it should be CW, but I don't see how to do it. $\endgroup$ – Davide Giraudo Apr 14 '13 at 10:41
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    $\begingroup$ 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). $\endgroup$ – Asaf Karagila Apr 14 '13 at 10:43
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    $\begingroup$ Most are also on wikipedia, which can be linked to of course! $\endgroup$ – Thomas Rot Apr 14 '13 at 12:17
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    $\begingroup$ while I think this is an intersting idea, I think it'd be quite hard to make it work in reality $\endgroup$ – Lost1 Apr 14 '13 at 12:20
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PlanetMath and ProofWiki are world-editable websites dedicated to collecting standard mathematical proofs. It might make more sense to post such results there, and then link to the proofs from particular questions here.

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  • $\begingroup$ I agree. Thanks for the suggestion. $\endgroup$ – Davide Giraudo Apr 14 '13 at 15:49
  • $\begingroup$ @Will WTF?!?${}{}$ $\endgroup$ – Michael Greinecker Apr 14 '13 at 21:33
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    $\begingroup$ @WillJagy I'm not getting the joke. $\endgroup$ – David E Speyer Apr 14 '13 at 23:43
  • $\begingroup$ David, it was a winner of the Diagram Prize for oddest book title of the year, for 2003. en.wikipedia.org/wiki/Bookseller/… It fit the Big List feeling of the question, and my wording was a suggestion that here was another resource we already had. I've deleted the direct link. $\endgroup$ – Will Jagy Apr 15 '13 at 18:56
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    $\begingroup$ @MichaelGreinecker, joke comment deleted and, to the extent possible, explained above. Apologies for any discomfort I may have caused. $\endgroup$ – Will Jagy Apr 15 '13 at 19:02

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