On semi separation axioms

A topology on a set is created by the open subsets of this set. Using these open sets, the concept of semi-open set in a topological space has been developed. All sets between an open set and the closure of this open set are called semi-open sets. All well-known properties in the general topology which are expressed by using open sets or closed sets can be generalized using semi-open sets or semi-closed sets. Thus, new features are obtained. The topological characteristics of these newly acquired properties have been investigated for about fifty years. In this thesis, generalization of some separation axioms using semi-open set concept and some features of these generalizations are compiled. This thesis consists of five chapters. In the first chapter, the origin of the concept of semi-open set, how it is defined and studies about the concept of semi-open set are mentioned. In the second chapter, the basic concepts and features that are known in general topology theory which are used in other parts of the thesis are reminded. In the third chapter, the concepts of semi-open set, semi-closed set, semi-inner, semi-closure, semi-continuity, irresoluteness, and semi-topological properties were reminded and some important results were given. In the fourth chapter, generalized separation axioms given in the literature by using the concepts of semi-open and semi-closed sets were reminded and various features were examined. In the fifth chapter, some suggestions are given for new studies which can be discussed and the results obtained in the thesis.