![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)
![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
![σ-Compact Space: Locally Compact Space, Lindelöf Space, Euclidean Space, Hausdorff Space, Baire Space, Hemicompact Space, Compact Space, Metric Space, ... Set, Bounded Set, Cover, Lower Limit Topology : Surhone, Lambert M., Timpledon, σ-Compact Space: Locally Compact Space, Lindelöf Space, Euclidean Space, Hausdorff Space, Baire Space, Hemicompact Space, Compact Space, Metric Space, ... Set, Bounded Set, Cover, Lower Limit Topology : Surhone, Lambert M., Timpledon,](https://m.media-amazon.com/images/I/71UjpuBjFtL._AC_UF1000,1000_QL80_.jpg)