Year: 2025
Type: article
Abstract: In this paper we will discuss the similarities and differences for some topological properties in $G$-continuity and $G$-sequential continuity. In particular we will illustrate the ways in which these notions agree and are divided in some topological properties by looking at their definitions, characteristics, and implications. We will use examples from the literature \cite{counterexample} to distinguish between G-continuity and G-sequential continuity. Moreover, we will prove that these two kinds of continuity produce different outcomes and broaden the notion of the G-method in topological spaces.
Authors: Osman Mucuk, Shanza Behram
Institutions: Erciyes University, COMSATS University Islamabad
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7117548915