Title of article :
Some applications of Dα-closed sets in topological spaces
Author/Authors :
Sayed, O.R. Assiut University - Faculty of Science - Department of Mathematics, Egypt , Khalil, A.M. Al-Azhar University - Faculty of Science - Department of Mathematics, Egypt
Abstract :
In this paper, a new kind of sets called Dα-open sets are introduced and studied in a topological spaces. The class of all Dα-open sets is strictly between the class of all α-open sets and g-open sets. Also, as applications we introduce and study Dα-continuous, Dα-open, and Dα-closed functions between topological spaces. Finally, some properties of Dα-closed and strongly Dα-closed graphs are investigated.
Keywords :
α , closed , Dα , closed , Dα , continuous , Dα , closed graph , Strongly Dα , closed graph
Journal title :
Egyptian Journal Of Basic and Applied Sciences
Journal title :
Egyptian Journal Of Basic and Applied Sciences
