Projectively first-countable semitopological groups

We show that a regular semitopological group G is projectively regular first-countable if and only if G is ω-balanced, locally ω  -good and Ir(G)≤ωIr(G)≤ω. Similarly, we give an internal characterization of projectively TiTi first-countable semitopological groups, for i=0,1,2i=0,1,2.