Timeline for Contractible space of maps between Eilenberg-Mac Lane spaces
Current License: CC BY-SA 2.5
4 events
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| Jan 24, 2011 at 21:15 | comment | added | John Klein | This gives it for countably generated ones. But a similar argument works I think by filtering $A$ by its poset $\cal P_A$ of finite subgroups and inclusions, and then noting that $\cal P_A$ is contractible (since if $B_\alpha \subset A$ is a finite diagram of finite subgroups, then the subgroup generated by all of these is still finite; this shows that $\cal P_A$ is contractible. | |
| Jan 24, 2011 at 20:29 | comment | added | Jeff Strom | Or is this not a problem because I'm working only with abelian groups? | |
| Jan 24, 2011 at 20:25 | comment | added | Jeff Strom | Doesn't this just get the result for locally finite groups $A$? | |
| Jan 24, 2011 at 19:50 | history | answered | John Klein | CC BY-SA 2.5 |