• ALMOST AND WEAKLY SS-CONTINUOUS FUNCTIONS

Alias B. Khalaf*, Abdulrahman H. Majeed, Jamil M. Jamil

Abstract


In this paper, the relationships among almost semi continuity, weakly semi continuity, almost SS –continuity and weakly SS –continuity are discussed. The relationship between almost SS –continuity and weakly SS –continuity are established. Moreover, the topological important characterizations, restriction, extension, composition and cross product are investigated. We obtained some preservation theorems by using almost SS –continuity and weakly SS –continuity on special types of spaces namely Hausdorff and connected spaces. Finally, the relationship with graphs is studied.


Keywords


SS –open, SS –continuous, almost continuous, almost semi-continuous, weak semi-continuous, almost SS –continuous, weak SS –continuous.

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