Timeline for Do there exist "topologically significant" (and not "algebraic") triangulated categories killed by the multiplication by $p$?
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Sep 17, 2015 at 18:30 | vote | accept | Mikhail Bondarko | ||
| Sep 17, 2015 at 18:08 | answer | added | Jacob Lurie | timeline score: 15 | |
| Sep 17, 2015 at 16:39 | comment | added | Mikhail Bondarko | Yes, I have read this paper of Schwede; yet I should (and probably would) have one more look at it. | |
| Sep 17, 2015 at 16:19 | comment | added | Karol Szumiło | You may want to look up Shwede's papers The p-order of topological triangulated categories and The n-order of algebraic triangulated categories. There he introduced the notion of n-order which measures how badly a topological triangulated category fails to be algebraic. I don't think your question is answered in these papers, but the methods are certainly relevant. | |
| Sep 17, 2015 at 16:06 | history | edited | Mikhail Bondarko | CC BY-SA 3.0 |
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| Sep 17, 2015 at 15:43 | history | edited | Mikhail Bondarko | CC BY-SA 3.0 |
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| Sep 17, 2015 at 15:14 | history | edited | Mikhail Bondarko | CC BY-SA 3.0 |
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| Sep 17, 2015 at 15:13 | comment | added | Mikhail Bondarko | I would like to have a "topological" example of a triangulated category not admitting a dg-enhancement (i.e., it cannot be "close to" derived categories of abelian categories). Can you produce such an example using this ring? | |
| Sep 17, 2015 at 14:52 | answer | added | Tyler Lawson | timeline score: 11 | |
| Sep 17, 2015 at 14:49 | comment | added | Charles Rezk | The endomorphism ring $E$ of $S^0/p$ is an associative ring spectrum, and is $p$-torsion (for odd $p$). Is that not "interesting for topologists"? | |
| Sep 17, 2015 at 14:21 | history | asked | Mikhail Bondarko | CC BY-SA 3.0 |