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Is this question acceptable?: Is every functor inducing a homotopy equivalence on nerves a composition of two adjoints?

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    • CommentAuthordavidac897
    • CommentTimeDec 27th 2012
     
    It's coming directly off of this question: http://mathoverflow.net/questions/335/is-every-functor-a-composition-of-adjoint-functors/336#336

    It seems like a good question on its own. But I feel like it's coming directly off of the question above, which got 17 votes. So it's basically like "this question had an answer with a counterexample, so is there another counterexample if we add more restrictions?"
    • CommentAuthorDL
    • CommentTimeDec 28th 2012
     
    My feeling is that, if you spend a few hours thinking about the question and don't come up with an answer, it is very reasonable to post the question.
  3.  

    You are far too hesitant to post questions. There has been a distinct lack of interesting questions on MO lately and I think this would be a welcome addition.

  4.  

    +1 Qiaochu

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