Timeline for When is a thick subcategory the preimage of a weak Serre class under a homological functor?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Dec 9, 2021 at 18:51 | comment | added | Mikhail Bondarko | Sorry; it appears that I made a mistake. | |
| Dec 9, 2021 at 18:24 | comment | added | Tim Campion | I'm not sure I follow -- if $X$ is of finite type but unbounded below, then $\amalg_i X[s_i]$ is not of finite type for suitable $|s_i| \to \infty$. | |
| Nov 16, 2021 at 12:25 | comment | added | Mikhail Bondarko | Anyway, your $\mathcal{P}$ should be closed with respect to the operations $X\mapsto \coprod_i X[s_i]$, where $|s_i|\to \infty$. | |
| Nov 15, 2021 at 18:45 | comment | added | Tim Campion | Ah, thanks, that's enlightening! I realize now I should stress that I'm particularly interested in examples of $\mathcal P$ which are not closed under small coproducts, such as when $\mathcal P \subset Spt$ comprises the spectra of finite type. I will edit to clarify this. | |
| Nov 15, 2021 at 9:58 | comment | added | Mikhail Bondarko | So, I suspect that you will not obtain many new examples if you take $\mathcal{C}$ that is not zero. | |
| Nov 15, 2021 at 9:54 | history | edited | Mikhail Bondarko | CC BY-SA 4.0 |
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| Nov 15, 2021 at 9:47 | history | answered | Mikhail Bondarko | CC BY-SA 4.0 |