G-METHODS ON TOPOLOGICAL SPACES
Project no. 21056 · Status: Kapanmış · 2020
Summary
This thesis essentially consists of five chapters In the first chapter, the topic of the thes is is introduced and information is given about some studies on this subject. In the second chapter, some basic definitions and theorems are mentioned in order to make the readers understand easily. In the third chapter, the study of Shou Lin and Li Liu in 2016 which was the generalization of G-method concept on any set that is defined on R by Connor and Grosse-Erdmann in 2003 was investigated. The concepts of G-open set, G-neighborhood, G-topology and G-continuity are given and some of their basic properties are examined. In the fourth chapter, Li Liu’s study published in 2018 is discussed. Morever the definitions G-core open set, G-core neighborhood set, G-core accumalation points are given. Some basic properties and theorems are discussed. In the last chapter of the thesis, G^*-closure concept is defined by generalizing the definition of G-closure of a cluster with the help of hereditary class, basic features of this concepts examined