Soft topological spaces
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Abstract (EN)
This thesis aiming to present some knowledges in the literature about soft topological spaces basically consists of six chapters. In the first chapter, the subject of the thesis is introduced and in the second chapter, in order to make the thesis understand easily, the concepts of soft set, soft point, soft mapping and some properties of these notions are given.In the third chapter, the concept of soft topology is defined. Moreover, the concepts of soft closure, soft interior and some properties are investigated. In the fourth chapter, soft neighborhood properties in terms of different soft points are expressed.In the fifth chapter, the concept of soft continuity in terms of different soft points and its some properties are examined. Moreover, the concepts of soft open, soft closed mapping are defined.In the sixth chapter, the definition of soft theta open set, the definition of soft theta topology by using this notion and its some properties are presented. Moreover, the concept of soft theta continuity is given. Additionally, some examples are given related to the subject.
Author
Özlem Arslan
How to Cite
Özlem Arslan (Master Thesis). Soft topological spaces, 2018, Ege University.
Keywords
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