Timeline for Two $\infty$-categories of chain complexes
Current License: CC BY-SA 4.0
5 events
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Mar 6, 2021 at 21:13 | vote | accept | Daniel Teixeira | ||
Jan 30, 2021 at 1:26 | comment | added | Tyler Lawson | @DenisNardin Good point! | |
Jan 29, 2021 at 18:42 | comment | added | Denis Nardin | One can use a trick to answer your last question in the affirmative: an exact functor between stable ∞-category is an equivalence iff it induces an equivalence on the homotopy categories, and it's quite easy to see that both the dg-nerve of cofibrant complexes and the DK localization are stable, and that the functor preserves cofibers and direct sums (the latter because it is the DK-localization of a stable model category). | |
Jan 29, 2021 at 17:31 | history | edited | Tyler Lawson | CC BY-SA 4.0 |
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Jan 29, 2021 at 17:26 | history | answered | Tyler Lawson | CC BY-SA 4.0 |