![general topology - Is it always possible to extend continuous functions defined on a *closed* subset of a locally compact Hausdorff space? - Mathematics Stack Exchange general topology - Is it always possible to extend continuous functions defined on a *closed* subset of a locally compact Hausdorff space? - Mathematics Stack Exchange](https://i.stack.imgur.com/qa6pq.png)
general topology - Is it always possible to extend continuous functions defined on a *closed* subset of a locally compact Hausdorff space? - Mathematics Stack Exchange
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general topology - For the existence of one-point compactification, do we need locally compactness? - Mathematics Stack Exchange
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general topology - Does locally compact separable Hausdorff imply $\sigma$- compact? - Mathematics Stack Exchange
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general topology - Is a compactly supported function on a locally compact Hausdorff space uniformly continuous? - Mathematics Stack Exchange
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real analysis - Can every continuous function be extended from a locally compact Hausdorff space to the one-point compactification? - Mathematics Stack Exchange
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measure theory - $ M(X) $ is a Banach space if $ \| \mu \| = | \mu |(X) $. Rudin's book (RCA). - Mathematics Stack Exchange
![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. 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.](https://cdn.numerade.com/ask_images/01fb4e4cb5f04e00b515e49d121cd6fd.jpg)
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.
![general topology - For the existence of one-point compactification, do we need locally compactness? - Mathematics Stack Exchange general topology - For the existence of one-point compactification, do we need locally compactness? - Mathematics Stack Exchange](https://i.stack.imgur.com/vm4Q8.png)
general topology - For the existence of one-point compactification, do we need locally compactness? - Mathematics Stack Exchange
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general topology - locally compact, Hausdorff, second-countable $\Rightarrow$ paracompact - Mathematics Stack Exchange
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