most recent 30 from http://mathoverflow.net 2013-05-21T19:43:10Z http://mathoverflow.net/feeds/question/36838 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/36838/are-non-pl-manifolds-cw-complexes A grad student 2010-08-27T03:48:08Z 2010-08-27T04:04:25Z

<p>Can every topological (not necessarily smooth or PL) manifold be given the structure of a CW complex?</p> <p>I'm pretty sure that the answer is yes. However, I have not managed to find a reference for this.</p>

http://mathoverflow.net/questions/36838/are-non-pl-manifolds-cw-complexes/36840#36840 Mariano Suárez-Alvarez 2010-08-27T03:53:01Z 2010-08-27T03:53:01Z

<p>See <a href="http://arxiv.org/abs/math/0609665" rel="nofollow">http://arxiv.org/abs/math/0609665</a></p>

http://mathoverflow.net/questions/36838/are-non-pl-manifolds-cw-complexes/36841#36841 Ryan Budney 2010-08-27T04:04:25Z 2010-08-27T04:04:25Z

<p>Kirby and Siebenmann's paper "On the triangulation of manifolds and the Hauptvermutung" Bull AMS 75 (1969) is the standard reference for this, I believe. </p> <p>The result is that compact topological manifolds have the homotopy-type of CW-complexes, to be precise. </p>