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

• Reyes, Boris ^[1]
  1. [1] Universidad Autónoma Metropolitana

     Universidad Autónoma Metropolitana

     México

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 27, Nº. 1, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.