From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6901 Path: news.gmane.org!not-for-mail From: Urs Schreiber Newsgroups: gmane.science.mathematics.categories Subject: Re: Simplicial versus (cubical with connections) Date: Thu, 15 Sep 2011 21:06:32 +0200 Message-ID: References: <33D5C4F9-416F-47E2-9CB3-C0109F977475@gmail.com> Reply-To: Urs Schreiber NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 X-Trace: dough.gmane.org 1316177449 5734 80.91.229.12 (16 Sep 2011 12:50:49 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Fri, 16 Sep 2011 12:50:49 +0000 (UTC) Cc: Dmitry Roytenberg To: categories Original-X-From: majordomo@mlist.mta.ca Fri Sep 16 14:50:44 2011 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.30]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1R4XsS-00021F-7c for gsmc-categories@m.gmane.org; Fri, 16 Sep 2011 14:50:44 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:55428) by smtpx.mta.ca with esmtp (Exim 4.76) (envelope-from ) id 1R4XqZ-0008S1-VI; Fri, 16 Sep 2011 09:48:47 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1R4XqY-0002M5-8j for categories-list@mlist.mta.ca; Fri, 16 Sep 2011 09:48:46 -0300 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6901 Archived-At: > So my question is, is it known whether the category of cubical > sets, with or without connections, admits an excellent model > structure? The only model structure on cubical sets that I am aware of is that given by Jardine: http://ncatlab.org/nlab/show/model+structure+on+cubical+sets Its cofibrations are the monos, but the other axioms of "excellent" (HTT A.3.2.16) seem problematic. But I haven't really thought about it. [For admin and other information see: http://www.mta.ca/~cat-dist/ ]