Locally compact, $\omega_1$-compact spaces

11 Dec 2017  ·  Nyikos Peter, Zdomskyy Lyubomyr ·

An $\omega_1$-compact space is a space in which every closed discrete subspace is countable. We give various general conditions under which a locally compact, $\omega_1$-compact space is $\sigma$-countably compact, i.e., the union of countably many countably compact spaces... These conditions involve very elementary properties. read more

PDF Abstract
No code implementations yet. Submit your code now

Categories


General Topology Logic