*Definition [#f4459ca5] κ is a cardinality. A topological space is said to be κ-orthocompact if every open cover with cardinality less than or equal to κ has an [[interior-preserving]] open refinement. *Remark [#q494fb28] -cf. [[orthocompact]] *Reference [#f883b065] N. Kemoto, Y. Yajima, ''Orthocompactness in infinite product spaces'', Proc. Amer. Math. Soc. Vol.120 No.2 (1994)