Let \(\displaystyle{\left(X,||\cdot||\right)}\) be a real- normed space with \(\displaystyle{\dim_{\mathbb{R}}X\geq 2}\) .
Prove that the unit ball \(\displaystyle{S_{x}=\left\{x\in X: ||x||=1\right\}}\) is path-connected.
Path - connected
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Papapetros Vaggelis
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