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Jul 9, 2017 at 17:11 history bounty ended tttbase
Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Oct 29, 2013 at 8:20 history edited Jonathan Chiche CC BY-SA 3.0
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Apr 17, 2011 at 8:28 comment added Jonathan Chiche Dear Akhil: You're welcome. I had trouble inserting the diagram to state Theorem A, but the relative case is one of the axioms for basic localizers, so you'll find it in Maltsiniotis's and Cisinski's books.
Apr 17, 2011 at 8:26 comment added Jonathan Chiche Dear Tim: Thanks a lot for your comment. I have edited my answer accordingly.
Apr 17, 2011 at 8:20 history edited Jonathan Chiche CC BY-SA 3.0
Correction of two typos, pointer to Tim Porter's comment and addition of a small mathematical point
Apr 16, 2011 at 1:08 comment added Akhil Mathew Dear Jonathan: thanks! I hadn't heard of Thomason's model structure, and was only really aware of the concrete example of simplicial sets as being a good model for classical homotopy theory. (I'll have to look up Quillen's Theorem A and B, as well.)
Apr 15, 2011 at 12:37 vote accept Akhil Mathew
Apr 15, 2011 at 9:14 comment added Tim Porter Jonathan: you say: 'As regards Grothendieck's opinion of Thomason's model structure, I do not know.' The point was made in a letter to me in the middle of the time when he was writing PS. (The letter was to have been included in Maltsinitios' retyping of the PS correspondence but that was stopped by Grothendieck. He does mention Thomason's work (in fact, he learnt of that at least partially from me and was surprised by the result.) I think he makes some comments about the cofibrations not being that intuitive or geometric.
Apr 15, 2011 at 9:03 history edited Jonathan Chiche CC BY-SA 3.0
added 51 characters in body
Apr 15, 2011 at 8:10 history answered Jonathan Chiche CC BY-SA 3.0