Every locally Compact Hausdorff Space is Regular.
Solution 1:
Yes that’s complete correct. Of course you do have to know (theorem for you?) that $X^\ast$ is indeed Hausdorff when $X$ is locally compact Hausdorff.
Every locally Compact Hausdorff Space is Regular.
Solution 1:
Yes that’s complete correct. Of course you do have to know (theorem for you?) that $X^\ast$ is indeed Hausdorff when $X$ is locally compact Hausdorff.