Research Information System
Konuralp Journal of Mathematics, vol.8, no.2, pp.370-375, 2020 (Refereed Journals of Other Institutions)
In 2003, Connor and Grosse-Erdmann [1] introduced the definition of G-method by using G-linear functions instead of limit, based on
various types of convergence on real numbers. Later on, some mathematicians examined this concept in topological groups. Then new
concepts, which were important in topology such as G-sequential compactness and G-sequential connected, were defined and some properties
of those concepts are investigated. S. Lin and L. Liu defined G-method notion by taking any set instead of topological group in 2016. In this
paper, we give definition of clG∗ -closure which is more general than G-closure of a set with the help of hereditarily class. Then we define the
notion of τG∗ -topology and give the concepts of G
∗
-connected and G
∗
-component. Besides, we examine the relationship between these
concepts and previously given concepts