Nano SC-Open Sets in Nano Topological Spaces

Authors

Osama Pirbal Department of Mathematics, College of Education , Salahaddin University-Erbil
Nehmat K. Ahmed Department of Mathematics, College of Education, Salahaddi University-Erbil

DOI:

https://doi.org/10.30526/36.2.2958

Keywords:

nano closed sets, nano semi-open sets, nano S_C-open sets, nano S_C-interior, nano S_C-closure.

Abstract

The objective of this paper is to define and introduce a new type of nano semi-open set which called nano -open set as a strong form of nano semi-open set which is related to nano closed sets in nano topological spaces. In this paper, we find all forms of the family of nano -open sets in term of upper and lower approximations of sets and we can easily find nano -open sets and they are a gate to more study. Several types of nano open sets are known, so we study relationship between the nano -open sets with the other known types of nano open sets in nano topological spaces. The Operators such as nano -interior and nano -closure are the part of this paper.

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