Semi separation axioms on multiset topological spaces

The main purpose of this thesis is to define the concept of semi-open multiset in multiset topological spaces, to characterize the multiset semi-separation axioms with the help of these concepts, to examine some of their properties, and to investigate the relationships between them with various theorems and examples. This thesis consists of five chapters. In the first chapter, the short history and importance of the subject are emphasized by a literature review. In the second and third chapters, the concept of multiset and the basic topological concepts that will be used in the thesis are given, as are various properties related to them. In addition, multiset topological spaces, multiset continuity, multiset homeomorphism, and multiset separation axioms are mentioned. In the fourth chapter, firstly, the concept of semi-open multiset in multiset topological spaces are defined and some important properties are proved. Moreover, multiset semi-continuity definitions are given, and multiset semi-separation axioms are characterized. In addition, relationships among them are shown. In the last section, conclusions and recommendations for future work are given.