Timeline for Loopspace of an Eilenberg Maclane space K(G,n)
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 30, 2010 at 10:05 | comment | added | Andrew Stacey | Rereading this answer, I see that I've missed out lots of "tilde"s on my homology groups. All homology groups are reduced. (I'll fix this when I fix the simply-connected condition; I'm waiting to see what else I got wrong!) | |
| Sep 30, 2010 at 9:41 | comment | added | Andrew Stacey | With my "Algebraic Topology" hat on then I want to be sure that I don't say anything wrong. The book that I was checking my results from doesn't quite have the result that I needed, but had two results that chained together did, and one of them needed simply connected, so I put it in to be safe. | |
| Sep 30, 2010 at 9:02 | comment | added | Harry Gindi | @Andrew: The stated result (due to whitehead) does not need simple connectivity. Indeed, it is true for any pair of fibrant-cofibrant objects in a model category. The fibrant-cofibrant objects of $\operatorname{CGWH}$ with the Quillen model structure (weak equivalences = weak homotopy equivalences) are (if I remember correctly) CW complexes with no connectivity assumption. | |
| Sep 30, 2010 at 8:36 | history | answered | Andrew Stacey | CC BY-SA 2.5 |