On Nano ẛـpreـgـOpen Set

Abstract

In this work, the notion is defined by using and some properties of this set are studied also, and Ù€ set are two concepts that are defined by using ; many examples have been cited to indicate that the reverse of the propositions and remarks is not achieved. In addition, new application example of nano was studied.

Keywords

• : Nano ẛـpreÙ€gÙ€open set, nano ẛpgδـset, nano ẛpgμـclosed set, nanoÙ€open,nanoÙ€closed, ideal.