Timeline for Pullback of localizations
Current License: CC BY-SA 4.0
12 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Sep 24 at 23:39 | vote | accept | user39598 | ||
S Sep 24 at 23:39 | history | bounty ended | user39598 | ||
S Sep 24 at 23:39 | history | notice removed | user39598 | ||
Sep 23 at 17:31 | answer | added | Maxime Ramzi | timeline score: 4 | |
S Sep 23 at 12:18 | history | bounty started | user39598 | ||
S Sep 23 at 12:18 | history | notice added | user39598 | Canonical answer required | |
S Aug 24 at 3:05 | history | bounty ended | CommunityBot | ||
S Aug 24 at 3:05 | history | notice removed | CommunityBot | ||
S Aug 16 at 1:28 | history | bounty started | user39598 | ||
S Aug 16 at 1:28 | history | notice added | user39598 | Canonical answer required | |
Jul 25 at 19:26 | comment | added | user39598 | I believe that if $F$ is a reflective localization (with right adjoint $i$) and coCartesian fibration, then $F$ is universally localizing. This is because the fiber $E_b$ of $F: E \rightarrow B$ over $b$ is the full subcategory of overcategory $E_{ / i(b)}$ whose objects are $f: e \rightarrow i(b)$ so that $F(f)$ is an isomorphism. This has a terminal object $Id_{i(b)}: i(b) \rightarrow i(b)$ and so the fiber is weakly contractible. | |
Jul 25 at 13:38 | history | asked | user39598 | CC BY-SA 4.0 |