Timeline for Quasicategories for non-simplicial model categories
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Aug 12, 2015 at 5:31 | vote | accept | Neil Strickland | ||
| Aug 11, 2015 at 17:36 | comment | added | Zhen Lin | Something like that, yes. As you remarked, left proper + weak equivalences closed under coproducts implies there is a maximal/canonical cofibration structure. | |
| Aug 11, 2015 at 16:11 | comment | added | Karol Szumiło | Oh, I see. Do you mean using something like diagrams that are Reedy cofibrant except that their bottom objects might not be cofibrant? | |
| Aug 11, 2015 at 15:58 | history | edited | Zhen Lin | CC BY-SA 3.0 |
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| Aug 11, 2015 at 15:55 | comment | added | Zhen Lin | Sure, of course. I was thinking of using the model category itself as a category of cofibrant objects, but I guess either way the vertices are still going to be more complicated than just objects of the original category. | |
| Aug 11, 2015 at 15:00 | comment | added | Karol Szumiło | Just to clarify, my construction can be applied to an arbitrary model category. It only depends on the full subcategory of cofibrant objects, but by results of Dwyer and Kan this subcategory is DK-equivalent to the original model category. Hence we still get the right thing. | |
| Aug 11, 2015 at 12:55 | history | answered | Zhen Lin | CC BY-SA 3.0 |