Timeline for Examples of comonoids (coalgebras) in the stable homotopy category $\mathbf{SH}$
Current License: CC BY-SA 4.0
6 events
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Jul 7, 2022 at 15:03 | comment | added | Jonathan Beardsley | Also the Koszul duals of augmented monoids and descent corings. | |
Jul 7, 2022 at 14:15 | comment | added | Eric Peterson | They’re fairly common: every suspension spectrum gives a comonoid, and a lesser known theorem of Bousfield says that in the K(n)-local category every spectrum admits such a structure. The “Thom diagonal” is an adjacent concept, presenting a Thom spectrum as a cotorsor for the comonoid associated to the suspension spectrum of the base space. I don’t know whether there’s an out-and-out classification available. | |
Jul 7, 2022 at 11:53 | history | edited | Tintin | CC BY-SA 4.0 |
added 8 characters in body
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Jul 7, 2022 at 11:52 | comment | added | Tintin | Yes, I mean Voevodsky's stable homotopy category in the $\mathbb{A}^1$-homotopy setting | |
Jul 7, 2022 at 11:28 | comment | added | Denis Nardin | By "algebraic" SH, do you mean the stable motivic category? | |
Jul 7, 2022 at 10:11 | history | asked | Tintin | CC BY-SA 4.0 |