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countably subcompact

Last-modified: 2010-09-29 (水) 13:38:22

Definition Edit

A topological space X is called countably subcompact if there is a base B for open sets in X (which is called a subcompact base) such that for every countable subfamily F of B, if F is a regular filter base then F has a non-empty intersection.

Reference Edit

  • Y. Ikeda, Cech-compaleteness and countably subcompactness, Topology Proc. Vol.14, pp.75-87 (1989).