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Jan 23, 2011 at 2:01 vote accept Yemon Choi
Jan 23, 2011 at 2:01 comment added Yemon Choi I forgot to accept an answer. Well, I would really like to accept both, but since I can only accept one I'm going to accept Steve Lack's for the link to Power's paper (it's not entirely clear to me that the examples I was considering are of the form that Todd Trimble's answer discusses)
Jan 6, 2011 at 1:34 answer added Steve Lack timeline score: 6
Jan 5, 2011 at 7:06 history edited Yemon Choi CC BY-SA 2.5
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Jan 5, 2011 at 6:43 answer added Todd Trimble timeline score: 5
Jan 5, 2011 at 3:33 comment added Theo Johnson-Freyd In a paper currently in progress, we consider something similar in a step in a larger proof, but we have more to work with. Our category $\mathcal B$ is something like "sheaves" and $\mathcal A$ something like "presheaves", and $G$ something like "$\text{Forget}$", so that its left adjoint "$\text{Sheafify}$" satisfies $\text{Sheafify}\circ\text{Forget}=\text{id}$. (It suffices for $G$ to be full to have its adjoint be a one-sided inverse.) In this case, $H$ has a left adjoint, given by $(\text{adjoint to }GH)\circ G$. Anyway, you weren't reading our paper, as it's not finished yet.
Jan 4, 2011 at 23:12 history asked Yemon Choi CC BY-SA 2.5