S-metacompact

Definition

• Let S be a class of spaces closed under taking homeomorphic images. A space X is said to be S-metacornpact iff XxY is orthocompact for every Y in S.

Reference

• Scott, Brian M., More about orthocompactness., Topology, Proc. Conf., Vol. 5, Birmingham/Ala. 1980, 155-184 (1981).