most recent 30 from http://mathoverflow.net 2010-08-01T09:28:37Z http://mathoverflow.net/feeds/user/749 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/5357/theorems-for-nothing-and-the-proofs-for-free/6503#6503 zvasilyev 2009-11-23T00:18:52Z 2009-11-23T00:18:52Z

<p><a href="http://en.wikipedia.org/wiki/Tychonoff%27s%5Ftheorem" rel="nofollow">Tychonoff's theorem</a> &mdash; product of <strong>any</strong> collection of compact spaces is still compact &mdash; is amazing and incredibly useful.</p>

http://mathoverflow.net/questions/1291/a-learning-roadmap-for-algebraic-geometry/1396#1396 zvasilyev 2009-10-20T08:35:14Z 2009-10-20T08:35:14Z

<p>I need to go at once so I'll just put a link here and add some comments later. Or someone else will. <a href="http://www.math.columbia.edu/~dejong/algebraic%5Fgeometry/stacks-git/" rel="nofollow">The Stacks Project</a> - nearly 1500 pages of algebraic geometry from categories to stacks.</p>

http://mathoverflow.net/questions/1083/do-good-math-jokes-exist/1229#1229 zvasilyev 2009-10-19T16:03:15Z 2009-10-19T16:03:15Z

<p><code>The spectral sequence is like the mini-skirt; it shows what is interesting while hiding the essential.</code></p> <p>This saying is attributed to someone from Bourbaki in <a href="http://www.jstor.org/pss/301970" rel="nofollow">Bourbaki's Art of Memory.</a></p>