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On Covering Prosperities via Neutrosophic e-Open Set in Neutrosophic Topological Space

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  • Wadei Al-Omeri

Abstract

This research presents and explores a novel category of compactness in neutrosophic topological spaces (NTSs), termed neutrosophic e-compact and neutrosophic locally e-compact. This category is positioned within the frameworks of neutrosophic δ-semicompactness and neutrosophic δ-precompactness, while also encompassing neutrosophic β-compactness. We have derived multiple preservation properties and characterizations associated with neutrosophic e-compactness, along with an examination of its images and preimages across various functions. Following an introduction to the fundamental concepts of neutrosophic sets and NTSs, we define e-open sets, e-continuity, and neutrosophic e∗-continuous in the context of neutrosophic theory, alongside other related findings regarding e-continuity. Additionally, we have identified several preservation properties and characterizations pertinent to e-compactness such as a neutrosophic e-base and a neutrosophic e-subbase.

Suggested Citation

  • Wadei Al-Omeri, 2026. "On Covering Prosperities via Neutrosophic e-Open Set in Neutrosophic Topological Space," Journal of Mathematics, Hindawi, vol. 2026, pages 1-14, March.
    • Handle: RePEc:hin:jjmath:9982902
    DOI: 10.1155/jom/9982902
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