On generalized topological groups
Murad Hussain, Moiz Ud Din Khan, Cenap \"Ozel

TL;DR
This paper introduces generalized topological groups using a generalized topology framework, exploring their fundamental properties and connectedness, thus extending classical topological group theory.
Contribution
It defines and investigates the basic properties and connectedness of generalized topological groups, a novel extension of traditional topological groups.
Findings
Basic properties of generalized topological groups are established.
Connectedness properties of these structures are analyzed.
The work extends classical concepts to a generalized topological setting.
Abstract
In this work, we will introduce the notion of generalized topological groups using generalized topological structure and generalized continuity defined by ?A. Cs?asz?ar [2]. We will discuss some basic properties of this kind of structures and connectedness properties of this structures are given. Keywords: Generalized topology; generalized continuity; generalized topological groups; generalized connectedness.
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