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Nov 25, 2011 at 19:07 comment added Ronnie Brown Misprint: $\tilede{ G}$ should be $\tilde{G}$.
Nov 25, 2011 at 19:06 comment added Ronnie Brown I should have added that the $k$-invariant referred to is exactly the obstruction to there being a `universal covering' topological group $\tilede G$ of $G$ (in the sense that there is a morphism $p: \tilde{ G} \to G$ of topological groups which on each component is a universal cover of spaces).
Nov 25, 2011 at 17:28 history answered Ronnie Brown CC BY-SA 3.0