Type the A space X is said to be " Hausdorff" or "T2 Space " if for each pair (x,y) of distinct points there exists disjoint open sets containing X & Y respectively

Example :

 

• Rk denote the reals with the topology having basis element as (a,b) –k where

k={1/n such that n belongs to Z+}  which  is Hausdorff.

 

 

Theorem: