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Jan 25, 2011 at 16:44 comment added Hugo Chapdelaine Thanks a lot Neil for this nice argument. I'm still wondering if it is possible to use this $C^{\infty}$-structure on the topological group $G$ and prove very cheaply that $K$ is a deformation retract of $G$.
Jan 24, 2011 at 18:45 history answered Neil Strickland CC BY-SA 2.5