Timeline for What's special about the Simplex category?
Current License: CC BY-SA 3.0
20 events
| when toggle format | what | by | license | comment | |
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| S May 24, 2017 at 17:18 | history | suggested | descenso |
added homotopy tag
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| May 24, 2017 at 16:54 | review | Suggested edits | |||
| S May 24, 2017 at 17:18 | |||||
| Jun 29, 2014 at 12:02 | answer | added | Ronnie Brown | timeline score: 4 | |
| Jun 17, 2014 at 16:50 | vote | accept | CommunityBot | ||
| Jun 16, 2014 at 20:58 | answer | added | Qiaochu Yuan | timeline score: 19 | |
| Jun 16, 2014 at 17:51 | answer | added | Fernando Muro | timeline score: 5 | |
| Jun 16, 2014 at 17:33 | answer | added | Todd Trimble | timeline score: 21 | |
| Jun 16, 2014 at 16:56 | history | edited | user11863 | CC BY-SA 3.0 |
added 17 characters in body
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| Jun 16, 2014 at 16:30 | comment | added | Zhen Lin | I think it has to do with the triangulation of $\Delta^n \times \Delta^m$. See this blog post. | |
| Jun 16, 2014 at 15:46 | comment | added | user11863 | Many thanks for the responses! I find it unintuitive that ordering is so important for the preservation of finite products. I have updated my question accordingly. | |
| Jun 16, 2014 at 15:43 | history | edited | user11863 | CC BY-SA 3.0 |
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| Jun 16, 2014 at 15:10 | comment | added | David E Speyer | Not precisely on target, but I wanted to advertise John Wiltshire-Gordon's paper arxiv.org/abs/1406.0786 which works out the fundamental homological algebra of FinSetSkel. | |
| Jun 16, 2014 at 14:09 | comment | added | fosco | You might be interested in the theory of (strict) test categories; unfortunately you have to be comfortable with French to read the marvelous account given by G. Maltsiniotis; hope this helps! | |
| Jun 16, 2014 at 14:06 | comment | added | Zhen Lin | True, but the same can be said about any equivalent homotopy theory – so e.g. CW complexes, symmetric simplicial sets, cubical sets... | |
| Jun 16, 2014 at 12:45 | comment | added | Philippe Gaucher | Is what follows special enough ? The homotopy theory of simplicial sets is the universal homotopy theory generated by one point : http://math.uoregon.edu/~ddugger/univ.html. | |
| Jun 16, 2014 at 12:15 | comment | added | Todd Trimble | If you want to understand what makes simplicial sets tick, then by all means do not ignore the ordering!! | |
| Jun 16, 2014 at 12:02 | comment | added | Michael Bächtold | Possibly related mathoverflow.net/questions/58497 | |
| Jun 16, 2014 at 10:05 | comment | added | Zhen Lin | The realisation of symmetric simplicial sets (= presheaves on $\Gamma$) does not preserve finite products. Indeed, for symmetric simplicial sets, $\Delta^n \times \Delta^m \cong \Delta^{n m + n + m}$. | |
| Jun 16, 2014 at 10:01 | answer | added | Philippe Gaucher | timeline score: 2 | |
| Jun 16, 2014 at 7:11 | history | asked | user11863 | CC BY-SA 3.0 |