Timeline for When does the constant diagram functor preserve fibrant objects in the injective model structure on diagram categories?
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
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| Jan 11, 2018 at 1:18 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Dec 12, 2017 at 0:45 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Nov 12, 2017 at 0:02 | answer | added | Eduardo J. Dubuc | timeline score: 2 | |
| Oct 18, 2017 at 9:45 | comment | added | Mikhail Katz | try to comment on this if you get a chance. | |
| Sep 27, 2017 at 23:11 | comment | added | Tim Campion | Over a Reedy category $R$, the injective and Reedy model structures often coincide -- e.g. if $R$ is elegant and the diagrams are in a topos, or if $R$ is skeletal (I'm not clear on the conditions on the codomain). The condition that the constant diagram functor over a Reedy category be Quillen actually appears as a hypothesis rather than a conclusion in several theorems here -- perhaps Riehl and Verity would know conditions guaranteeing this. | |
| Sep 26, 2017 at 1:57 | comment | added | Dylan Wilson | If the indexing diagram is an "inverse category" i.e. a Reedy category where every morphism lowers degree, then this should hold. That's only mildly more general than what you've written though. | |
| Sep 25, 2017 at 22:17 | history | edited | j.c. | CC BY-SA 3.0 |
fix grammar, add link
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| Sep 25, 2017 at 22:06 | comment | added | David Roberts♦ | I added [ct.category-theory], to give this a top-level tag. | |
| Sep 25, 2017 at 22:05 | history | edited | David Roberts♦ |
Added ct tag
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| Sep 25, 2017 at 20:43 | history | edited | Eduardo J. Dubuc | CC BY-SA 3.0 |
added 250 characters in body
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| Sep 25, 2017 at 20:36 | comment | added | Eduardo J. Dubuc | I only know this is the case in the context considered by Edwards and Hastings. | |
| Sep 25, 2017 at 20:33 | history | asked | Eduardo J. Dubuc | CC BY-SA 3.0 |