Timeline for What (if anything) unifies stable homotopy theory and Grothendieck's six functors formalism?
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| when toggle format | what | by | license | comment | |
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| Jun 9, 2014 at 19:24 | comment | added | Ben Wieland | Motivic is yet a third direction logically independent of the first two. It is possible, indeed common, to work with motivic shaves of chain complexes. | |
| Jun 8, 2014 at 14:28 | comment | added | AAK | @DanPetersen, SH embeds fully faithfully into SH(Spec(C)). See [Marc Levine, A comparison of motivic and classical stable homotopy theories, uni-due.de/~bm0032/publ/MotVClass.pdf]. | |
| Jun 8, 2014 at 14:09 | comment | added | Dan Petersen | Hej Andreas, thanks! One thing I didn't see in Déglise-Cisinski: what's the relation between (say) SH(Spec(C)) and the usual stable homotopy category? Is there a purely topological analogue, like how six operations on locally compact topological spaces was around since before e.g the l-adic version? (Verdier, Dualité dans la cohomologie...) | |
| Jun 8, 2014 at 0:57 | history | edited | Andreas Holmstrom | CC BY-SA 3.0 |
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| Jun 8, 2014 at 0:45 | history | answered | Andreas Holmstrom | CC BY-SA 3.0 |