On soft i̇deal topological spaces

This thesis essentially consists of seven chapters. In the first chapter, the subject of the thesis is introduced, in the second chapter, basic knowledges on soft sets and soft topological spaces are provided in order to make understandable the reading of the thesis. In the third chapter, basic definitions and fundamental theorems related with soft ideal, soft local function and *-soft topological spaces are included. Moreover the notion of compatibility of soft ideals with the soft topologies is introduced and some characterizations concerning this topic are investigated . In the fourth chapter, the definition of soft I_compactness and some properties of this concept are studied. Besides, *-soft connected sets, *-soft seperated sets and *_s soft connected sets in soft ideal topological spaces are examined and their properties and their relations with each other are studied. In the fifth chapter, soft I-reguler spaces and soft I-normal spaces are handled and their properties are examined. In the final chapter, the concept of soft I-paracompactness is defined on the context of soft ideal topological spaces and then related fundamental theorems and results are obtained. Also, soft I-paracompact spaces are examined on subspaces. Finally, this work is supported by counter examples to some spaces.