From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6902 Path: news.gmane.org!not-for-mail From: Fernando Muro Newsgroups: gmane.science.mathematics.categories Subject: Re: Simplicial versus (cubical with connections) Date: Fri, 16 Sep 2011 15:24:12 +0200 Message-ID: References: <33D5C4F9-416F-47E2-9CB3-C0109F977475@gmail.com> Reply-To: Fernando Muro NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: quoted-printable X-Trace: dough.gmane.org 1316270118 25422 80.91.229.12 (17 Sep 2011 14:35:18 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Sat, 17 Sep 2011 14:35:18 +0000 (UTC) To: categories Original-X-From: majordomo@mlist.mta.ca Sat Sep 17 16:35:13 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 1R4vz7-0007id-0N for gsmc-categories@m.gmane.org; Sat, 17 Sep 2011 16:35:13 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:47032) by smtpx.mta.ca with esmtp (Exim 4.76) (envelope-from ) id 1R4vxE-0004Jj-0C; Sat, 17 Sep 2011 11:33:16 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1R4vxC-0006Xp-Dd for categories-list@mlist.mta.ca; Sat, 17 Sep 2011 11:33:14 -0300 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6902 Archived-At: For a published reference see: MR2591923 (2010k:18022) Maltsiniotis, Georges(F-PARIS7-IMJ) La cat=C3=A9gorie cubique avec connexions est une cat=C3=A9gorie test str= icte.=20 (French. English summary) [The category of cubes with connections is a=20 strict test category] Homology, Homotopy Appl. 11 (2009), no. 2, 309=E2=80=93326. Best, Fernando On Thu, 15 Sep 2011 21:06:32 +0200, Urs Schreiber wrote: >> 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. > --=20 Fernando Muro Universidad de Sevilla, Departamento de =C3=81lgebra http://personal.us.es/fmuro [For admin and other information see: http://www.mta.ca/~cat-dist/ ]