Timeline for The universal property of the unseparated derived category
Current License: CC BY-SA 3.0
4 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Feb 10, 2022 at 19:43 | comment | added | Tim Campion | Just to clarify, the conclusions are (as I understand) the following. Let $A$ be a Grothendieck abelian category: (2) For any presentable $\infty$-category $C$, there is an equivalence between (i) functors $A \to C$ which preserve coproducts and filtered colimits, and carry short exact sequences to cofiber sequences and (ii) functors $\check D (A)_{\geq 0} \to C$ which preserve colimits. (1) If $C$ is moreover stable, then we may replace $\check D(A)_{\geq 0}$ with its stabilization $\check D(A)$ in the statement of (2). | |
Oct 8, 2017 at 9:09 | vote | accept | Yonatan Harpaz | ||
Oct 6, 2017 at 22:07 | answer | added | Jacob Lurie | timeline score: 13 | |
Oct 6, 2017 at 14:28 | history | asked | Yonatan Harpaz | CC BY-SA 3.0 |