Turkish Journal of Mathematics
Author ORCID Identifier
OSMAN MUCUK: 0000-0001-7411-2871
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.
DOI
10.55730/1300-0098.3636
Keywords
G-method, G-convergence, G-topological groupoid
First Page
73
Last Page
86
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
MUCUK, O (2026). G-topological groupoids. Turkish Journal of Mathematics 50 (1): 73-86. https://doi.org/10.55730/1300-0098.3636
