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

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General Topology Logic