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Jan 4, 2019 at 15:01 vote accept John Klein
Jan 4, 2019 at 14:56 comment added Najib Idrissi @JohnKlein I think in their other paper, they are more interested in the $\overline{\operatorname{Emb}}$ space, i.e. the fiber of the map $\operatorname{Emb} \to \operatorname{Imm}$. Which is thus, by their theorem, the fiber of $\mathbb{R}\operatorname{map}_\Gamma(\operatorname{con}(-), \operatorname{con}(-)) \to \Gamma$.
Jan 4, 2019 at 14:49 comment added John Klein Ah...good: you are right. I was looking at a different a paper of theirs which uses the configuration category model. Thanks for the heads up!
Jan 4, 2019 at 14:44 comment added Najib Idrissi @JohnKlein See the introduction of arxiv.org/abs/1202.1305 (as far as I can tell, this is the oriented case).
Jan 4, 2019 at 14:33 comment added John Klein I am not aware that Weiss and de Brito claim that the map $E(P,P') \to \operatorname{hMap}_{E(D^p)\text{-RMod}}(E(P), E(P'))$ is an equivalence; they merely assert that it sits in a pullback square.
Jan 4, 2019 at 10:35 history edited Najib Idrissi CC BY-SA 4.0
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Jan 4, 2019 at 10:29 history answered Najib Idrissi CC BY-SA 4.0