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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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locally compact space | every compact space is locally compact | Real line is locally compact - YouTube
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general topology - Quasicomponents and components in compact Hausdorff space - Mathematics Stack Exchange
![SOLVED: Problem 3: (15 points + 10 points) Suppose that X and Y are locally compact (but not compact) Hausdorff spaces with one-point compactifications Xo and Yo respectively: Further suppose that (X Y) SOLVED: Problem 3: (15 points + 10 points) Suppose that X and Y are locally compact (but not compact) Hausdorff spaces with one-point compactifications Xo and Yo respectively: Further suppose that (X Y)](https://cdn.numerade.com/ask_images/c219b6bcc57e472cbcf4d05bba9568d7.jpg)
SOLVED: Problem 3: (15 points + 10 points) Suppose that X and Y are locally compact (but not compact) Hausdorff spaces with one-point compactifications Xo and Yo respectively: Further suppose that (X Y)
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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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