Timeline for Which abelian categories possess an exact faithful functor into abelian groups that respects products?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Nov 26, 2020 at 16:17 | history | edited | Mikhail Bondarko | CC BY-SA 4.0 |
I realized that Qiaochu Yuan had not given a (complete) answer to my question.
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| Nov 26, 2020 at 15:37 | history | edited | Mikhail Bondarko | CC BY-SA 4.0 |
added 1 character in body
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| Nov 21, 2020 at 10:37 | comment | added | Maxime Ramzi | I believe a cocomplete abelian category where sufficiently filtered colimits are exact, with a generator, must be presentable. In particular, a limit preserving functor $A^{op}\to Ab$, being the same thing as a colimit preserving functor $A\to Ab^{op}$, automatically has a right adjoint; and in particular we end up with the same answer as in Qiaochu's : $A$ must have an injective cogenerator | |
| Nov 21, 2020 at 7:32 | history | edited | Mikhail Bondarko | CC BY-SA 4.0 |
Upd. added.
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| Nov 21, 2020 at 7:21 | vote | accept | Mikhail Bondarko | ||
| Nov 21, 2020 at 7:20 | vote | accept | Mikhail Bondarko | ||
| Nov 21, 2020 at 7:21 | |||||
| Nov 21, 2020 at 4:17 | answer | added | Qiaochu Yuan | timeline score: 6 | |
| Nov 20, 2020 at 13:07 | history | asked | Mikhail Bondarko | CC BY-SA 4.0 |