Timeline for Does the classifying space of monoids commute with wedge sum up to weak equivalence?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 12, 2012 at 8:50 | vote | accept | Gao 2Man | ||
| May 9, 2012 at 19:16 | answer | added | John Klein | timeline score: 3 | |
| May 9, 2012 at 18:01 | comment | added | John Klein | One can prove that BG∨BH is aspherical using Ganea's homotopy fiber sequence ΣG∧H → BG∨BH → BG×BH. The fiber and base are K(π,1)-spaces (the fiber is a wedge of circles), so therefore is the total space. | |
| May 9, 2012 at 17:29 | answer | added | Benjamin Steinberg | timeline score: 3 | |
| May 9, 2012 at 17:22 | answer | added | Charles Rezk | timeline score: 14 | |
| May 9, 2012 at 14:38 | comment | added | Fernando Muro | I don't think Van Kampen's theorem suffices to prove that the first map is a weak equivalence. VK's theorem shows that it is an isomorphism on $\pi_1$, but an argument is needed to prove that the wedge of aspherical spaces is aspherical. | |
| May 9, 2012 at 14:09 | history | asked | Gao 2Man | CC BY-SA 3.0 |