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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeJan 11th 2010

Idea-section and one further reference at Thomason model structure.

I remember Mike once said on the blog somewhere that there might be some problem with Thomason's original claim that cofibrant objects in this structure are posets. I made a brief remark on this, but I can't find Mike's original comment.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJan 11th 2010
• (edited Jan 11th 2010)

...

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeJan 11th 2010

created cohomology of a category just for completeness in the course of Mike and my discussion on the blog

• CommentRowNumber4.
• CommentAuthorMike Shulman
• CommentTimeJan 12th 2010

I can't tell you much more... all I remember is what you said (someone said there might be a problem with it). I don't even remember who it was. (-: So it could just be a malicious rumor. I certainly haven't read the proof myself.

• CommentRowNumber5.
• CommentTimeAug 19th 2014

I added the reference

• CommentRowNumber6.
• CommentAuthorZhen Lin
• CommentTimeAug 19th 2014

The result on calculi of left fractions is especially interesting: it’s not often that we get a privileged direction in category theory!

• CommentRowNumber7.
• CommentAuthorMike Shulman
• CommentTimeAug 19th 2014

Of course, the asymmetry comes from $Ex$, not from category theory.

• CommentRowNumber8.
• CommentAuthorJohn Baez
• CommentTimeOct 10th 2019

I pointed to the canonical model structure, for comparison.

• CommentRowNumber9.
• CommentAuthorJohn Baez
• CommentTimeOct 10th 2019

I undid that change, which had been unnecessary.

• CommentRowNumber10.
• CommentAuthorMarc
• CommentTimeOct 10th 2019

updated links to Meier/Ozornova article and talk

• CommentRowNumber11.
• CommentAuthorUrs
• CommentTimeOct 10th 2019

gave these two reference more proper publication data:

• CommentRowNumber12.
• CommentAuthorHurkyl
• CommentTimeFeb 26th 2021

Changed the language. The previous version gives the impression that the Thomason equivalences bear no relation to categorical equivalences, when in truth they include the categorical equivalences.

• CommentRowNumber13.
• CommentAuthorHurkyl
• CommentTimeFeb 26th 2021

Collected some facts about the Thomason model structure