most recent 30 from http://mathoverflow.net 2013-05-20T20:51:52Z http://mathoverflow.net/feeds/question/36576 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/36576/simplicial-covering-map Justin Curry 2010-08-24T18:10:53Z 2010-08-24T18:41:48Z

<p>In Rezk's paper <a href="http://arxiv.org/abs/math/9811037" rel="nofollow">"A model for the homotopy theory of homotopy theory"</a> numerous references to simplicial covering maps are made. It's first appearance being at the bottom of page 8. Unfortunately no definition is provided in the paper and I was wondering if there is a purely combinatorial definition for this concept or whether we have to pass to the geometric realization.</p> <p>Maps of simplicial sets already match cells of the same dimension (roughly speaking), but it is the evenly covered concept that requires some work (I imagine).</p> <p>Any help would be appreciated.</p>