Timeline for Path components of a monoidal category acting on homology
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 27, 2013 at 1:42 | vote | accept | Joshua Seaton | ||
| Mar 31, 2013 at 19:53 | answer | added | Geoffroy Horel | timeline score: 4 | |
| Mar 31, 2013 at 14:14 | comment | added | Joshua Seaton | $S \times X \to X$ gives rise to $B(S \times X ) \to BX$. Unless we know that $BS$ is locally compact, in which case the natural map $B(S \times X) \to BS \times BX$ is a homeomorphism, how do we get a map $BS \times BX \to BX$?/ | |
| Mar 31, 2013 at 0:26 | comment | added | Geoffroy Horel | $BS$ acts on $BX$, therefore you have an action map $H_0(BS)\otimes H_p(BX)\to H_p(BX)$. $H_0(BS)=\mathbb{Z}[\pi_0(BS)]$, therefore you have an action of the group algebra $\mathbb{Z}[\pi_0(BS)]$ on $H_p(BX)$ or equivalently an action of the group $\pi_0(S)$ on $H_p(BX)$. | |
| Mar 30, 2013 at 2:25 | history | asked | Joshua Seaton | CC BY-SA 3.0 |