tea.mathoverflow.net - Discussion Feed (Is every functor inducing a homotopy equivalence on nerves a composition of two adjoints?)

DavidRoberts comments on "Is every functor inducing a homotopy equivalence on nerves a composition of two adjoints?" (21125)

DavidRoberts — Tue, 01 Jan 2013 19:59:25 -0800

+1 Qiaochu

Qiaochu Yuan comments on "Is every functor inducing a homotopy equivalence on nerves a composition of two adjoints?" (21048)

Qiaochu Yuan — Fri, 28 Dec 2012 01:17:24 -0800

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.

DL comments on "Is every functor inducing a homotopy equivalence on nerves a composition of two adjoints?" (21047)

DL — Fri, 28 Dec 2012 01:17:03 -0800

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.

davidac897 comments on "Is every functor inducing a homotopy equivalence on nerves a composition of two adjoints?" (21042)

davidac897 — Thu, 27 Dec 2012 21:53:42 -0800

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?"