Timeline for presentability rank of categories of coalgebras
Current License: CC BY-SA 4.0
12 events
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| Dec 1, 2022 at 9:11 | comment | added | Maxime Ramzi | I'm indeed mostly interested in the question without presentability rank, and that's a good point, I'll try to see if I can work something out :) Thanks ! | |
| Nov 30, 2022 at 17:49 | comment | added | Simon Henry | However, if you are not interested in the precise presentability rank then the argument highlighted in the OP should be easier to adapt - I think the theorem about limits of accessible categories appears in HTT. | |
| Nov 30, 2022 at 17:49 | comment | added | Simon Henry | @MaximeRamzi : I'm relatively confident it has not. I couldn't find a 1-categorical reference when I wrote it (which is why I wrote one in the paper mentioned). I don't know an analogue of Adámek and Porst for infinity categories, and the proof is fairly technical and don't generalize in an obvious way. The rest of the argument would also be significantly more complicated in $\infty$-category theory due to the fact that monads (and comonads) are not supper easy to manipulate... | |
| Nov 30, 2022 at 16:24 | comment | added | Maxime Ramzi | Do you know if a similar result has been written down/proved for $\infty$-categories ? | |
| May 13, 2020 at 16:26 | history | edited | Simon Henry | CC BY-SA 4.0 |
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| Feb 25, 2020 at 23:51 | history | edited | David White | CC BY-SA 4.0 |
fixed typos and grammar for this new answer
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| Feb 25, 2020 at 21:04 | history | edited | Simon Henry | CC BY-SA 4.0 |
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| Feb 24, 2020 at 22:35 | history | edited | Simon Henry | CC BY-SA 4.0 |
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| Feb 24, 2020 at 22:30 | comment | added | Ivan Di Liberti | This is super cool! Why didn't I know of it?! | |
| Feb 24, 2020 at 21:42 | history | edited | Simon Henry | CC BY-SA 4.0 |
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| Feb 24, 2020 at 21:23 | vote | accept | Simon Henry | ||
| Feb 24, 2020 at 21:23 | history | answered | Simon Henry | CC BY-SA 4.0 |