Definition:

A space X is said to be T1 Space if for any two ponts x,y ,belongs to X there exists two open sets U and V such that x belongs to U and y does not belongs to V , and x does not belongs to V and y belongs to U.T1 ­ spaces are  also called Fréchet spaces.

Example :

The Zariski Toplogy of Rk is T1 Space