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Let \(G\) be a Hausdorff topological group, and let \(\Gamma\le G\). Suppose the induced topology of \(\Gamma\) is locally compact. Then \(\Gamma\) is closed in \(G\). If \(\Gamma\) is discrete, then \(\Gamma\) is closed and has no limit points in \(G\).

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Studying The Arithmetic Theory of Automorphic Forms, grad apps :(

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Cool theorem check out at link.

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Some horrible Hatcher exercise I really like. Solution here.

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The octahedral axiom

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Amelia Thornheart

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