most recent 30 from http://mathoverflow.net 2013-05-23T08:30:17Z http://mathoverflow.net/feeds/question/63387 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/63387/can-every-3-manifold-be-triangulated Raj Kumar 2011-04-29T08:39:22Z 2011-04-29T11:48:02Z

<p>One of my classmates was telling me that it is an open question whether every 3-manifold can be triangulated. This was rather surprising. He said that the question as far as he remember is settled only for 4-manifold where answer is negative. If this is the case, can somebody shed some light why this problem is so hard?</p>

http://mathoverflow.net/questions/63387/can-every-3-manifold-be-triangulated/63389#63389 Francesco Polizzi 2011-04-29T08:48:36Z 2011-04-29T08:48:36Z

<p>Every $3$-manifold is triangulable.</p> <p>This was proven by Edwin E. Moise in is paper <a href="http://www.jstor.org/stable/1969769" rel="nofollow">"Affine structure in $3$-manifolds"</a>, Annals of Math. 56 (1952).</p>