Timeline for How many model category structures are there on Top?
Current License: CC BY-SA 3.0
15 events
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Jan 10 at 1:36 | history | edited | David White |
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Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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Oct 27, 2013 at 13:29 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
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Oct 27, 2013 at 13:17 | answer | added | David White | timeline score: 7 | |
May 19, 2012 at 14:05 | comment | added | Fernando Muro | @JeremyLane I was really curious | |
May 19, 2012 at 1:44 | comment | added | Omar Antolín-Camarena | @John: I think "Quillen model structure on a category" is an absolutely awful name for model category theory, may I suggest "the theory of Quillen model structures on categories" instead? | |
May 18, 2012 at 22:52 | history | edited | Jeremy | CC BY-SA 3.0 |
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May 18, 2012 at 22:49 | comment | added | Jeremy | @fernando why not? @tom sorry, i knew that, it was an unfortunate typo. | |
May 18, 2012 at 22:40 | comment | added | John Klein | @Tom: my preference is, "Quillen model structure on a category." | |
May 18, 2012 at 22:29 | comment | added | Tom Leinster | There's no mathematical content to the following comment, but I'll say it anyway: what you're learning isn't model theory, but model category theory. Model theory is something else entirely. | |
May 18, 2012 at 22:19 | comment | added | John Klein | According to ncatlab.org/nlab/show/…, Bousfield localization of the Serre model structure yields a plethora of new model structures on spaces. | |
May 18, 2012 at 22:18 | comment | added | Fernando Muro | May I ask why are you interested in counting such things? | |
May 18, 2012 at 22:10 | comment | added | John Klein | The model structure that uses weak homotopy equivalences and Hurewicz fibrations is called the "mixed model structure"––it is attributed to Cole. There is yet another model structure due to Strøm: it uses Hurewicz fibrations and homotopy equivalences. So there are at least four different ones. The Strøm structure and the Serre/Cole structures have distinct homotopy theories. | |
May 18, 2012 at 21:20 | history | edited | Jeremy | CC BY-SA 3.0 |
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May 18, 2012 at 20:26 | history | asked | Jeremy | CC BY-SA 3.0 |