Abstract

This work employs the conceptions of neutrosophic crisp a-open and semi-a-open sets to distinguish some novel forms of weakly neutrosophic crisp open mappings; for instance, neutrosophic crisp a-open mappings, neutrosophic crisp a*-open mappings, neutrosophic crisp a**-open mappings, neutrosophic crisp semi-a-open mappings, neutrosophic crisp semi-a*-open mappings, and neutrosophic crisp semi-a**-open mappings. Moreover, the close connections between these forms of weakly neutrosophic crisp open mappings and the viewpoints of neutrosophic crisp open mappings are explained. Additionally, various theorems and related features and notes are submitted.

Highlights

  • Salama et al [1] pioneered the abstraction of neutrosophic crisp topological space

  • This study aims to establish unprecedented classes of weakly neutrosophic crisp open mappings by way of examples neutrosophic crisp -open mappings, neutrosophic crisp *-open mappings, neutrosophic crisp **-open mappings, neutrosophic crisp semi- -open mappings, neutrosophic crisp semi- *-open mappings, and neutrosophic crisp semi- **-open mappings

  • We shall explain the close relastionships between these categories of weakly neutrosophic crisp open mappings and the conceptions of neutrosophic crisp open mappings

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Summary

Introduction

Salama et al [1] pioneered the abstraction of neutrosophic crisp topological space. Abdel-Basset et al [2,3,4,5,6,7] gave a novel neutrosophic approach. Iraqi Journal of Science, 2021, Vol 62, No 8, pp: 2660-2666 neutrosophic crisp semi- -closed sets. Banupriya et al [9] investigated the notion of gs continuity and gs irresolute maps. Dhavaseelan et al [10] exhibited the theme of neutrosophic -continuity. Maheswari et al [11] introduced gb-closed sets and gb-continuity. We shall explain the close relastionships between these categories of weakly neutrosophic crisp open mappings and the conceptions of neutrosophic crisp open mappings. We shall show some related theorems and their features and notes

Preliminaries
Weakly Neutrosophic Crisp Open Mappings
Conclusions

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