Soft real points

In this thesis, the notions of soft points and soft real points are studied which are derived with the purpose of defining the soft versions of topological topics. This thesis is composed of four chapters. In the first chapter, introduction, the theory of soft sets and its properties are given according to the literature review. It is mentioned that the appearance of soft points and the progress story of soft real points. In the second chapter, soft sets and their properties are given in details.In the third chapter, the notion of soft point is introduced. In the fourth chapter, soft real points and their algebraic properties are defined by using the definition of soft points. Each definition and each property are exemplified to make the topic more understandable. Also, the notion of soft real point metric is introduced. Some definitions and properties in metric spaces corresponding to in soft real point metric spaces are given by using soft real points.