English

On nano h-open sets

General Mathematics 2023-06-19 v2

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.

Keywords

Cite

@article{arxiv.2305.00235,
  title  = {On nano h-open sets},
  author = {Shallu Sharma and Pooja Saproo and Naresh Digra and Iqbal Kour},
  journal= {arXiv preprint arXiv:2305.00235},
  year   = {2023}
}

Comments

9 pages, work in progress

R2 v1 2026-06-28T10:21:29.922Z