Abstract

In this paper, we introduce the idea of Nano Soft $^{s}(\mathscr{I})\beta\alpha$- Regular Spaces (RS) and Normal Spaces (NS). Further we define Nano Soft $^{s}(\mathscr{I})\alpha$- Regular and Normal Spaces, Nano Soft $^{s}(\mathscr{I})\beta$- Regular and Normal Spaces, Nano Soft $^{s}(\mathscr{I})$ Semi- Regular and Normal Spaces, Nano Soft $^{s}(\mathscr{I})$ Pre- Regular and Normal Spaces. Also their features and characterization are explored with an example.

Keywords and Phrases

Nano Soft $^{s}(\mathscr{I})\alpha$- Regular Spaces and Normal Spaces, Nano Soft $^{s}(\mathscr{I})\beta$- Regular Spaces and Normal Spaces, Nano Soft $^{s}(\mathscr{I})\beta\alpha$- Regular Spaces and Normal Spaces, Nano Soft $^{s}(\mathscr{I})\alpha\beta$- Regular Spaces and Normal Spaces.

A.M.S. subject classification

54A10, 54C50, 54G20.

.....