Timeline for When does $BG \to BA$ loop to a homomorphism?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 22, 2019 at 12:07 | vote | accept | David Roberts♦ | ||
| Jul 22, 2019 at 12:07 | comment | added | David Roberts♦ | I will accept this in the absence of any other suggestions, because it shows how subtle the question is, and how much it will depend on the topology of $A$. | |
| Jun 21, 2019 at 12:28 | comment | added | John Klein | Reformulation of the question: is $\hom(G,A) \to \hom_{A_\infty}(G,A)$ surjective on $\pi_0$? (The target is $A_\infty$-homomorphisms $G \to A$). One might be able to use Boardman-Vogt obstruction theory to study this, by replacing $G$ with a cofibrant $A_\infty$-space. | |
| Jun 21, 2019 at 7:51 | comment | added | David Roberts♦ | Thanks, you are indeed answering the intended question, but unfortunately I can't assume $A$ is locally compact! It is in my example the geometric realisation of a simplicial abelian Lie group.... But this is a good answer in any case. | |
| Jun 21, 2019 at 7:49 | history | answered | Mark Grant | CC BY-SA 4.0 |