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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

12 votes

Locally compact Hausdorff space that is not normal

$\pi$-Base, a database-driven version of Steen and Seebach's Counterexamples in Topology, lists the following locally compact, Hausdorff spaces that are not normal. You can view the search result to l …
Steven Clontz's user avatar
3 votes
4 answers
822 views

Does countable compactness imply local compactness in Hausdorff spaces?

The question arose while comparing the notions of compactness, countable compactness, local compactness, and "Lindelofness" in Hausdorff spaces. It is straightforward to show that compactness implies …