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Q:

Property of homotopy groups of spheres

Let $D^{2n}$ be the standard Disk with $n\geq 1$, and let $\Sigma^{2n-1}$ be the $CAT($ sphere with $n\geq 2$. From Hatcher we have that the universal cover of $\Sigma^{2n-1}$ is $H^{2n}$. The proof is as follows: it 50e0806aeb erbvalo
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