Title of article :
A new type of open set and its applications
Author/Authors :
Mani ، Parimala Department of Mathematics - Bannari Amman Institute of Technology Bannari Amman Institute of Technology , Ozel ، Cenap King Abdulaziz University , Muthusamy ، Karthika Department of Mathematics - Bannari Amman Institute of Technology Bannari Amman Institute of Technology
Abstract :
In this paper we introduce some new separation axioms by utilizing the notions of alphaomegapopen sets and alphaomegapre closure operator and the implication between the existing spaces are provided. Also as an application, we study some continuous functions and graph functions using this separation axioms. Basic theorems and properties are also investigated.
Keywords :
sober space , separation axioms , continuous function , graph function
Journal title :
Annals of Optimization Theory and Practice
Journal title :
Annals of Optimization Theory and Practice
