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From: Urs Schreiber <urs.schreiber@googlemail.com>
To: categories <categories@mta.ca>
Cc: Dmitry Roytenberg <starrgazerr@gmail.com>
Subject: Re: Simplicial versus (cubical with connections)
Date: Thu, 15 Sep 2011 21:06:32 +0200	[thread overview]
Message-ID: <E1R4XqY-0002M5-8j@mlist.mta.ca> (raw)
In-Reply-To: <E1R4GgT-0007ej-Hq@mlist.mta.ca>

> 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.


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  parent reply	other threads:[~2011-09-15 19:06 UTC|newest]

Thread overview: 14+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
     [not found] <33D5C4F9-416F-47E2-9CB3-C0109F977475@gmail.com>
2011-09-14 10:04 ` Ronnie Brown
     [not found] ` <E1R4GgT-0007ej-Hq@mlist.mta.ca>
2011-09-15 19:06   ` Urs Schreiber [this message]
2011-09-16 13:24     ` Fernando Muro
2011-10-18 13:27       ` Urs Schreiber
2011-10-19  8:35         ` Marco Grandis
2011-10-19 17:09           ` Vaughan Pratt
2011-10-20 10:39             ` Ronnie Brown
2011-10-29  1:08 Simplicial versus (cubical) " F William Lawvere
  -- strict thread matches above, loose matches on Subject: below --
2011-10-22 13:07 Simplicial versus (cubical " Todd Trimble
2011-10-26 21:27 ` F. William Lawvere
     [not found] <E1RGrPh-0003WW-KS@mlist.mta.ca>
2011-10-20 22:08 ` Ross Street
2011-09-12  0:30 Simplicial groups are Kan Michael Barr
2011-09-12  9:35 ` Ronnie Brown
2011-09-13 15:12   ` Simplicial versus (cubical with connections) Marco Grandis
     [not found]   ` <BDF51495-03DB-4725-8372-094AD1608A11@dima.unige.it>
2011-09-13 16:58     ` Ronnie Brown
2011-09-14  7:08       ` Jonathan CHICHE 齊正航

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