*Definition [#fe13bb74] A subset K of a topological space X is called relatively rightly compact in X if whenever U is a locally finite collection of open subsets of X, K meets at most finite members of U. *Reference [#c4596b6b] Shou Lin, Zhangyong Cai, and Chuan Liu, ''The closed mappings on k-semistratifiable spaces'', Houston J. Math. Vol.35 No.1 (2009).