Some applications of D α-closed sets in topological spaces

Publication date: March 2016 Source:Egyptian Journal of Basic and Applied Sciences, Volume 3, Issue 1 Author(s): O.R. Sayed, A.M. 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 - July 20, 2016 Category: Science Source Type: research