Timeline for Is every dg-coalgebra the colimit of its finite dimensional dg-subcoalgebras?
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| Apr 30, 2019 at 6:37 | comment | added | Daniel Robert-Nicoud | @Gabriel sorry, I forgot to mention that in Brice's article the coalgebras are supposed to be conilpotent (as can be gathered from the start of the proof of Lemma 5). I suppose Leonid's example is non-conilpotent. | |
| Apr 30, 2019 at 0:15 | comment | added | Gabriel C. Drummond-Cole | @DanielRobert-Nicoud do you know how to resolve the seeming discrepancy between Lemma 5 of Le Grignou and Leonid's counterexample below? | |
| Apr 30, 2019 at 0:14 | comment | added | Gabriel C. Drummond-Cole | N.B., we work explicitly with conilpotent coalgebras, and I do not know how to extend our method for proving presentability to the full category of coalgebras. So our paper may not be particularly useful for you. | |
| Apr 29, 2019 at 21:36 | comment | added | Daniel Robert-Nicoud | @VictorTC As an additional remark, this is true more in general for coalgebras over cooperads, see Lemmas 4, 5, and Proposition 12 of the article Homotopy theory of unital algebras by B. Le Grignou. | |
| Apr 29, 2019 at 19:08 | comment | added | Victor TC | Thank you very much, I will check the references. | |
| Apr 29, 2019 at 18:32 | history | edited | David White | CC BY-SA 4.0 |
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| Apr 29, 2019 at 18:29 | history | undeleted | David White | ||
| Apr 29, 2019 at 18:00 | history | deleted | David White | via Vote | |
| Apr 29, 2019 at 18:00 | history | answered | David White | CC BY-SA 4.0 |