weakly submetacompact

Definition

A topological space X is called weakly submetacompact (or weakly θ-rifinable) if for each open cover U, there exists a sequence V_n of weak open refinements of U such that for each x in X, V_n is point-finite at x for some n.

Remark

• cf. submetacompact

Reference

N. Kemoto, Y. Yajima, Orthocompactness in infinite product spaces, Proc. Amer. Math. Soc. Vol.120 No.2 (1994)