*Definition [#oaf26d69]
A space X is called point-star preorthocompact provided that, if C is an open cover of X, there is a reflexive relation V on X so that, for each x in X, V(x) is open and &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$V%5ccirc%20V%28x%29%5csubset%5cmathrm%7bSt%7d%28x%2c%5cmathcal%7bC%7d%29$%7d%25.png);.

*Reference [#ba556e9b]
-Hans-Peter Kunzi and Peter Fletcher, ''Some Questions Related to Almost 2-Fully Normal Spaces'', Rocky Mountain J. Math. Vol.15 (Nov. 1985).