Timeline for proper smooth dg-categories and colimit
Current License: CC BY-SA 4.0
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| Nov 1, 2023 at 10:25 | comment | added | AT0 | I havent read the paper carefully but from what it seems, most of the list of facts Toën gives (numbered F 1-7) are true for dg-categories when looking at the reference in To-Ve, however fact F7 is used strongly and its proof takes about half of this paper. The sublemma 3 uses the fact that you're dealing with dg-algebras by checking equivalences through passing to the total cohomology of the algebra. If T is a dg-cat not homotopically eq to a dg-algebra then I dont know how to use that lemma, or prove F7 directly. | |
| Oct 31, 2023 at 14:20 | history | edited | OOOOOO | CC BY-SA 4.0 |
edited title
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| Oct 31, 2023 at 14:12 | history | asked | OOOOOO | CC BY-SA 4.0 |