2008•Unpublished venueRequires access
Some Properties on Base-Countably- Mesocompact Spaces
Guozhu He, Gang Wang, Jia Yong-jin, Zhongli Zhou, Wen Jian-wei
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Abstract
In this paperbase-countable-mesocompactness is investigated. And the following results are obtained: (1) Let X be base-countably-mesocompact and X ′ be an Fσ subset of X. If X is normal,then X ′ is base-countably-mesocompact relative to X. (2) Let X be mesocompact. locally base-countably-mesocompact. If X is normal then X is base-countably-mesocompact. (3) Let Y be a base-countably-mesocompact space and f: X → Y be a base-countably-mesocompact map and ω (X) ≥ ω (Y). If Y is regular then X is base-mesocompact. (4) Let f: X → Y be a closed Lindel o f map and Y be a base-countably-mesocompact. If X and Y are both regular and ω (X) ≥ ω (Y), then X is base-countably-mesocompact.