Continuity on soft topological spaces

This thesis essentially consists of five chapters. In the first chapter, the subject of the thesis is introduced and in the second chapter, some basic definitions and theorems are given to make the thesis understandable. In the third chapter of the thesis, the definition of soft topology is given and some basic properties of soft topological spaces are investigated and the definitions of separation axioms are given. In the fourth chapter, the notions of soft function and soft continuity are given and their main properties are investigated. In the last part of the thesis, soft semi-open sets are introduced and their properties are given. Moreover, a generalization of soft continuity named soft weak continuity and soft almost continuity are defined and some properties are investigated.