Some applications of Dα-closed sets in topological spaces

Publication date: Available online 18 August 2015 Source:Egyptian Journal of Basic and Applied Sciences Author(s): Osama Rashed Sayed, Ahmed Mostafa Khalil 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.

Source: Egyptian Journal of Basic and Applied Sciences - August 19, 2015 Category: Science Source Type: research