Consider $X=\left\{0,1,2\right\}^{\mathbb{Z}}$. My very short, and hopefully not too stupid question is, if $X$ is a compact manifold.
I think compact is clear by Tychonoff's theorem, but I do not think its a manifold.
2026-04-23 23:44:14.1776987854
Is this a compact manifold?
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