Timeline for Higher coherences in $A_\infty$-spaces
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 14, 2023 at 11:34 | comment | added | Fernando Muro | You’re kind of thinking of a case where there’s an essentially unique A-infinity space structure with a given binary product. That’s not as common. | |
| Aug 14, 2023 at 11:19 | comment | added | Neil Strickland | If $G$ is actually a topological group then there is a trivial associator but the full space of all possible associators is $\Omega\text{Map}(G^3,G)$, which contains $\Omega G$ as a retract. Thus, the space of associators cannot be contractible unless $G$ is weakly equivalent to a discrete space. | |
| Aug 14, 2023 at 9:25 | comment | added | Tilman | A choice of an associator is the same as an A_3 structure. Your definition is asking for an essentially unique A_3 structure, so it is both stronger and weaker. | |
| Aug 14, 2023 at 9:12 | comment | added | AlexE | The original one by Stasheff. The nLab has the reference: ncatlab.org/nlab/show/A-infinity-space | |
| Aug 14, 2023 at 9:04 | comment | added | Tim Porter | Good question but it would help if you included a link to the definition of $A_\infty$-space that you are referring to. Different sources may have different definitions (i.e. the details matter and may be different in different sources.). | |
| Aug 14, 2023 at 7:27 | history | asked | AlexE | CC BY-SA 4.0 |