Akademik Veri Yönetim Sistemi
Turkish Journal of Mathematics, cilt.50, sa.1, ss.73-86, 2026 (SCI-Expanded, Scopus, TRDizin)
In the grouped theory, it is unclear whether a topological groupoid’s quotient groupoid with the quotient topology is topological. In this paper, we approach this problem considering G-methods and G-convergence. We define G-topological groupoid, which agrees with the sequential version of a topological groupoid in the particular case G = lim, and give some counterexamples. Then, we extend the usual properties of topological groupoids to the G-topological groupoids. We also prove that a G-topological groupoid’s quotient groupoid is G-topological groupoid when a normal subgroupoid is suitably chosen. This result enables us to obtain examples of topological quotient groupoids in a particular case.