G-topological groupoids
Abstract
In the groupoid theory, it is unclear that 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.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Fuzzy and Soft Set Theory
Advanced Topology and Set Theory
Publication details
- Journal / source
- TURKISH JOURNAL OF MATHEMATICS
- Publisher
- The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS
- Volume
- 50
- Issue
- 1
- Pages
- 73–86
- Publication date
- 14 January 2026
- Language
- EN