*Definition [#c7be1b7d]
-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 [#d99516de]
-Scott, Brian M., ''More about orthocompactness.'', Topology, Proc. Conf., Vol. 5, Birmingham/Ala. 1980, 155-184 (1981).