![general topology - Example of a locally compact + Hausdorff + ¬normal + connected space - Mathematics Stack Exchange general topology - Example of a locally compact + Hausdorff + ¬normal + connected space - Mathematics Stack Exchange](https://i.stack.imgur.com/67qfe.png)
general topology - Example of a locally compact + Hausdorff + ¬normal + connected space - Mathematics Stack Exchange
![general topology - Does locally compact separable Hausdorff imply $\sigma$- compact? - Mathematics Stack Exchange general topology - Does locally compact separable Hausdorff imply $\sigma$- compact? - Mathematics Stack Exchange](https://i.stack.imgur.com/qZUuT.png)
general topology - Does locally compact separable Hausdorff imply $\sigma$- compact? - 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 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
![SOLVED: For a locally compact Hausdorff space (X, T), let X = X ∪ ∞ and define τ on X as τ = U ⊆ X | U is open in X SOLVED: For a locally compact Hausdorff space (X, T), let X = X ∪ ∞ and define τ on X as τ = U ⊆ X | U is open in X](https://cdn.numerade.com/project-universal/previews/fc73ae9a-11f6-40c1-acb1-cc5d1f28b93f.gif)
SOLVED: For a locally compact Hausdorff space (X, T), let X = X ∪ ∞ and define τ on X as τ = U ⊆ X | U is open in X
![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
![SOLVED: Let X be a locally compact, normal, Hausdorff space (or take K to be the real numbers if you wish). Let Cc(X) denote the set of continuous functions on X with SOLVED: Let X be a locally compact, normal, Hausdorff space (or take K to be the real numbers if you wish). Let Cc(X) denote the set of continuous functions on X with](https://cdn.numerade.com/ask_images/1efd87b464c84de78c28ffe65fac5e76.jpg)
SOLVED: Let X be a locally compact, normal, Hausdorff space (or take K to be the real numbers if you wish). Let Cc(X) denote the set of continuous functions on X with
![general topology - Is a compactly supported function on a locally compact Hausdorff space uniformly continuous? - Mathematics Stack Exchange general topology - Is a compactly supported function on a locally compact Hausdorff space uniformly continuous? - Mathematics Stack Exchange](https://i.stack.imgur.com/QqRxE.png)
general topology - Is a compactly supported function on a locally compact Hausdorff space uniformly continuous? - Mathematics Stack Exchange
![general topology - locally compact, Hausdorff, second-countable $\Rightarrow$ paracompact - Mathematics Stack Exchange general topology - locally compact, Hausdorff, second-countable $\Rightarrow$ paracompact - Mathematics Stack Exchange](https://i.stack.imgur.com/P32Lc.png)
general topology - locally compact, Hausdorff, second-countable $\Rightarrow$ paracompact - Mathematics Stack Exchange
![general topology - Compact Hausdorff Spaces and their local compactness - Mathematics Stack Exchange general topology - Compact Hausdorff Spaces and their local compactness - Mathematics Stack Exchange](https://i.stack.imgur.com/SQgWz.jpg)