Resumen de ★-quasi-pseudometrics on algebraic structures

Shi-Yao He, Ying-Ying Jin, Li-Hong Xie

• In this paper, we introduce some concepts of ★-(quasi)-pseudometric spaces, and give an example which shows that there is a ★-quasi-pseudometric space which is not a quasi-pseudometric space. We also study the conditions under which ★-quasi-pseudometric semitopological groups are paratopological groups or topological groups.