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SOLVED: Texts: Let E be a locally compact Hausdorff space. Prove that: (a) If dim E < ∞, then E is locally compact. (b) Now we assume that E is locally compact.
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SOLVED: Texts: Let E be a locally compact Hausdorff space. F is a finite dimensional subspace of E. (a) Make x ∈ E/F. Prove: There exists a continuous seminorm p on E
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