İdeal ikili topolojik uzaylarda bazı genelleştirilmiş açık kümeler üzerine

In this thesis, 〖 γ〗_ij-T-open, γ_ij-semi-T-open,γ_ij-pre-T-open, 〖 γ〗_ij-bT-open and γ_ij-βT-open sets defined fort he first time in the literature and basic properties are given in ideal bitopological spaces with an operation γ:T_ →P(X)by generalizing (i,j)-T-open, (i,j)-semi-T-open,(i,j)-pre-T-open, (i,j)-bT-open, and (i,j)-βT- open sets. This thesis basically consists of four chapters. After the introduction, the necessary basic concepts are given in the second chapter to make the thesis easier to understand. In the third chapter, γ_ij-T-open, γ_ij-semi-T-open,γ_ij-pre-T-open, 〖 γ〗_ij-bT-open and γ_ij-βT-open sets are defined. The relationship between the open sets which are defined is examined. Finally, in the fourth chapter, by the help of generalized open sets 〖(γ,δ)〗_ij-T- continuity, 〖(γ,δ)〗_ij-pre-T- continuity, 〖(γ,δ)〗_ij-𝑏𝔗- continuity, 〖(γ,δ)〗_ij-semi-T- continuity, 〖(γ,δ)〗_ij-βT- continuity are defined and the relations between them are investigated.