ON SOME WEAK FORMS OF NORMAL SPACES
Project no. 515 · Status: Kapanmış · 2018
Summary
This thesis essentially consists of six chapters. In the first chapter, the subject of the thesis is introduced, in the second chapter, basic knowledges on normal spaces and some forms of such spaces are given in order to make understandable the reading of the thesis. In the third chapter, given the definition of almost ß-normality relation between some normal spaces are examined. Furthermore, fundamental theorems and results concerning this topic are obtained. In the fourth chapter, given definition of ?-normality its relation with other normal spaces are analyzed and shown with a diagram. Also, the preservation of this space under mappings and its properties are given. In the fifth chapter, the definition of I-normal is given inspired by the ideal spaces. Characterizations and basic properties of this space are studied. Moreover, the preservation of this space under mappings is investigated. In the final chapter, the definition of ?I-normal space is given and fundamental properties and characterizations are investigated.