base-base metacompact

Definition

A topological space X is called base-base metacompact if it has an open base B such that every subfamily C in B, which is also base for X, contains a point-finite subcover.

Reference

S. G. Popvassilev, Base-cover paracompactness, Proc. Amer. Math. Soc. Vol.132, No.10, pp.3121-3130.