Axioms of separation in semitopological groups and related functors

We also show that the canonical homomorphisms φG,i of G onto Ti(G) are open for i=0,1,2 and provide an internal description of the groups T0(G) and T1(G) by finding the exact form of the kernels of φG,0 and φG,1. It is also established that the functors Reg and Ti∘T3, for i=0,1,2 are naturally equivalent.