A note on quasitopological fundamental groups

The quasitopological fundamental group ( ) is the fundamental group endowed with the quotient topology inherited from the space of based loops in X.In this paper, rst, the separation axioms T0 , T1 , T2 , T3 and T4 are studied on the quasitopological fundamental group ( ) and then we show that when is ( ) a topological group.

Keywords:

Invariantly separated , Totally separated , Regular space , Normal space , CG − group