*Definition [#d62f1210]
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 [#y9d9b72d]
-See [[countably subcompact]].
*Reference [#x3bff6e4]
-Y. Ikeda, ''Cech-compaleteness and countably subcompactness'', Topology Proc. Vol.14, pp.75-87 (1989).