On nano h-open sets

Shallu Sharma; Pooja Saproo; Naresh Digra; Iqbal Kour

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arXiv · 2305.00235

On nano h-open sets

Shallu Sharma·Pooja Saproo·Naresh Digra·Iqbal Kour

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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.

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BibTeX RIS

Shallu Sharma, Pooja Saproo, Naresh Digra, Iqbal Kour. 2023-04-29. On nano h-open sets. https://arxiv.org/abs/2305.00235

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