Timeline for Bousfield-Kan: Cosimplicial Replacement of a fibration of diagrams is a fibration?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 21, 2011 at 8:45 | vote | accept | Adam | ||
| Dec 20, 2011 at 11:48 | answer | added | Justin Noel | timeline score: 5 | |
| Dec 20, 2011 at 8:58 | comment | added | Justin Noel | Usually the trick is to realize that the cosimplicial remplacement of a diagram satisfies $X^{n+1}\cong F^{n+1}\times M^n X$ where $F^{n+1}$ is the 'cofree' part of $X$ in degree $n+1$. This part should be explicitly computable in terms of the original diagram. Once you know this, the fibered products simplify and the matching maps should be coordinatewise fibrations, hence a fibration. | |
| Dec 20, 2011 at 5:40 | history | asked | Adam | CC BY-SA 3.0 |