On vague order and decomposition mapping by a- open sets using nano

الملخص EN

In this paper the concept of nano topology is studied in a different way .

The notation of nano -open is established.

Also the concept -covering dimension is defined.

The aim of this paper is to introduce and define a new type of covering dimension by using nano -open sets namely, a nano - covering dimension in a nano topological space and find some relations to other concepts.

Some properties and characterization of this covering dimension are obtained.