In this study, we investigate the further properties of quasi irresolute topological groupsdefined in [20]. We show that if a group homomorphism f between quasi irresolute topologicalgroups is irresolute at $e_G$, then $f$ is irresolute on $G$. Later we prove that in a semi-connectedquasi irresolute topological group $(G,*,\tau )$, if $V$ is any symmetric semi-open neighborhood of $e_G$, then $G$ is generated by $V$. Moreover it is proven that a subgroup $H$ of a quasi irresolutetopological group $(G,*,\tau)$ is semi-discrete if and only if it has a semi-isolated point. تفاصيل المقالة

‎In this study‎, ‎we investigate topological properties of fuzzy strong‎b-metric spaces defined in [13]‎. ‎Firstly‎, ‎we prove Baire's theorem for‎‎these spaces‎. ‎Then we define the product of two fuzzy strong b-metric spaces‎‎defined with same continuous t-norms and show that $X_{1}\times X_{2}$ is a‎‎complete fuzzy strong b-metric space if and only if $X_{1}$ and $X_{2}$ are‎‎complete fuzzy strong b-metric spaces‎. ‎Finally it is proven that a subspace‎‎of a separable fuzzy strong b-metric space is separable‎. تفاصيل المقالة