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
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| Nov 15, 2021 at 18:49 | history | edited | Tim Campion | CC BY-SA 4.0 |
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| Nov 15, 2021 at 9:47 | answer | added | Mikhail Bondarko | timeline score: 1 | |
| Nov 14, 2021 at 20:09 | comment | added | Tim Campion | @MikhailBondarko Oh... I would indeed be willing to pass to a larger universe. I'd be very interested to hear what you have to say | |
| Nov 13, 2021 at 17:07 | comment | added | Mikhail Bondarko | Are you willing to pass to a larger universe?:) Then you can just take $\mathcal{C}=0$, $\mathcal{A}$ to be abelian groups, and consider the product of functors that are corepresentable in the quotient $\mathcal{T}/\mathcal{P}$. I can say more about this recipe in the compactly generated setting. | |
| Oct 18, 2021 at 19:05 | comment | added | Tim Campion | An example of $\mathcal P$ which is of the above form is the thick subcategory of $p$-complete spectra sitting among all spectra; here $\pi : Spt \to Ab$ takes stable homotopy groups and $\mathcal C \subset Ab$ comprises the $p$-local, cotorsion abelian groups. I'm a bit confused now, but I think maybe one gets thick subcategories not obviously of this form from chromatic homotopy theory? | |
| Oct 18, 2021 at 14:22 | history | edited | Tim Campion | CC BY-SA 4.0 |
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| Oct 18, 2021 at 14:14 | history | asked | Tim Campion | CC BY-SA 4.0 |