κ-suborthocompact

Definition

κ is a cardinality.
A topological space X is called κ-suborthocompact if for each open cover U, with cardinality less than or equal to κ, there exists a sequence V_n of open refinements of U such that for each x in X, there exists some n such that the union of all the member of V_n containing x is a neighborhood of x.

Remark

• cf. orthocompact, suborthocompact, weakly suborthocompact

Reference

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