countably B-subcompact

Last-modified: 2010-09-29 (水) 13:37:45

Definition

B is an open base of a topological space X.
X is called countably B-subcompact for every countable subfamily F of B, if F is a regular filter base then F has a non-empty intersection.

Remark

Reference

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