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Apr 2, 2017 at 20:44 history edited Michael Albanese CC BY-SA 3.0
Added a space between \ and \!/_h.
May 20, 2013 at 19:03 comment added Oscar Randal-Williams Yes, that's what I meant by $M \wr M$. The spectral sequence, in a much more general formulation, is in "Classifying spaces and spectral sequences".
May 20, 2013 at 18:42 comment added David Carchedi (ofc, the notion of homotopy colimit I mean, is only well defined up to weak equivalence).
May 20, 2013 at 18:39 comment added David Carchedi I didn't realize the phrase "homotopy colimit" had any ambiguity. I am thinking about the model category structure on $Top$ (i.e. the colimit in the associated infinity category). At any rate, is $M \wr M$ notation for the "action category of $M$ on itself", i.e. the Grothendieck construction of the functor $M \to Set$ sending $*$ to $M$ and each $m \in M$ to the morphism $m:M \to M$ induced by composition? If so, this is what I hoped would work! Anyhow, thanks for your references, and for the spectral sequence! (Btw, where can I find a reference for this SS?)
May 20, 2013 at 18:28 history answered Oscar Randal-Williams CC BY-SA 3.0