Ti-reflections and the Hartman-Mycielski construction in semitopological and paratopological groups

[EN] We show that, given a semitopological group G, the semitopological groups Ti (G?) and (Ti(G))· , for each i ? {0,1,2} , and (Gsr)· and (G·)sr, are topologically isomorphic. Moreover, we prove that, given a paratopological group G, the paratopological groups Reg(G·) and (Reg(G))· are topologically isomorphic.