*Definition [#b830e3c0]
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 [#zf4a9ddd]
-Y. Ikeda, ''Cech-compaleteness and countably subcompactness'', Topology Proc. Vol.14, pp.75-87 (1989).