10:36 PM
@TomBachmann I see. That's actually a bit reassuring because the ASS comes to us naturally as a cosimplicial ring rather than a filtered ring so its reasonable that you lose some stuff when you forget this structure.
@TomBachmann So if i understand correctly the upshot is that there are multiplicative spectral sequences which come from cosimplicial algebras and those that come from filtered algebras. And the structure on the former is more rich than the structure on the latter. Do you know where i can read about these steenrod operations in the cosimplicial and filtered situations and the differences? Its not really what i was initially interested in though it interests me regardless...
Wait! I think i got it the other way around and now i'm utterly confused. Are you saying that the SS of a cosimplicial spectrum has less structure than that of an N-filtered spectrum?
(ring spectrum of course*)
(Actually its very possible that everything i said is nonsense, better to sleep on it and think about these issues tomorrow more carefuly).