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Sep 12, 2016 at 19:07 comment added David White They really strongly need everything to be based on simplicial sets, but for orthogonal G-spectra most work has been done for spaces (it's a bit unnatural to take Sing of O(n) to force it into sSet, and you run into issues with subgroups; there's a remark about this in my commutative monoids paper). I assume that's what held them up from doing the equivariant case.
Sep 12, 2016 at 17:09 comment added Tom Bachmann What confuses me is that the scholbach work is meant to apply to motivic homotopy theory. But then surely it should also apply to presheaves on the Orbit category, with the global weak equivalences. Which is the same honotopy theory as G-spaces by elmendorfs Theorem, right?
Sep 12, 2016 at 15:16 history answered David White CC BY-SA 3.0