Can every 3-manifold be triangulated? - MathOverflow [closed] 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 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 Answer by Francesco Polizzi for Can every 3-manifold be triangulated? 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>