*Definition [#kd006032]
-A topological space (X,τ) is said to be nearly T_3 space if for each point x in X and an open neighbourhood V of x there  exists a [[T_3-open cover]] U of (X, τ) such taht &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20St%28x%2c%5c%2cU%29%5csubset%20V%20%5c%5d%7d%25.png);, where &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20St%28x%2c%5c%2cU%29%20%5c%5d%7d%25.png); is [[star of the point x with respect to U]].

*Property [#dce93990]
-nearly T_3 ⇒ [[T(3,1)>T(i,k)]] ⇒ [[T(3,2)>T(i,k)]] ⇒ [[T(3,3)>T(i,k)]].
-nearly T_3 ⇒ [[nearly T_2]].

*Reference [#rc499bef]
-Przemski, M., ''Nearly T_i-continuous functions and some separation axioms.'' (Serbo-Croatian summary), Glas. Mat. Ser. III 21(41) (1986), no. 2, 431–435.