On nano h-open sets

Abstract

The main aspect of this paper is to introduce a new generalisation of nano open sets namely, nano h-open sets. These newly generalised sets serve as the foundation for the definition of nano h-continuous functions and some results involving their characterizations are established. Furthermore, the notion of nano h-open functions, nano h-irresolute functions, nano h-totally continuous functions, nano h-contra continuous functions and nano h-homeomorphism have been put forth. Some properties regarding these functions have been investigated and some remarks related to them have been provided, supported by examples.

arXiv comment9 pages, work in progress