*Definition [#v1f81bfb]
-A topological space (X,τ) is said to be T_{UB} if for each x of X and &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20M%5csubset%20X%20%5c%5d%7d%25.png); , M [[compact]] such that &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5cnotin%20M%20%5c%5d%7d%25.png); , either {x} is weakly separated from M or M is weakly separated from {x}.

*Property [#l982c78c]
-T_{UB} implies T_F and if the space is [[compact]], then T_{UB} ⇒ T_D.

*Reference [#l9c75659]
-Singal, Asha Rani, ''Remarks on separation axioms.'' (English) [A] General Topology Relations modern Analysis Algebra, Proc. Kanpur topol. Conf. 1968, 265-296 (1971).