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Abdulsada, Dheargham Ali, Jabar, L.A.A., Rajihy, Yasen. (1405). New Concepts of Locally SNC-Boundary, SNC-Nowhere Dense and Domain Sets in Stable Neutrosophic Crisp Topological Spaces. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2026.73490.3758
Dheargham Ali Abdulsada; L.A.A. Jabar; Yasen Rajihy. "New Concepts of Locally SNC-Boundary, SNC-Nowhere Dense and Domain Sets in Stable Neutrosophic Crisp Topological Spaces". سامانه مدیریت نشریات علمی, , , 1405, -. doi: 10.22034/cmde.2026.73490.3758
Abdulsada, Dheargham Ali, Jabar, L.A.A., Rajihy, Yasen. (1405). 'New Concepts of Locally SNC-Boundary, SNC-Nowhere Dense and Domain Sets in Stable Neutrosophic Crisp Topological Spaces', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2026.73490.3758
Abdulsada, Dheargham Ali, Jabar, L.A.A., Rajihy, Yasen. New Concepts of Locally SNC-Boundary, SNC-Nowhere Dense and Domain Sets in Stable Neutrosophic Crisp Topological Spaces. سامانه مدیریت نشریات علمی, 1405; (): -. doi: 10.22034/cmde.2026.73490.3758

New Concepts of Locally SNC-Boundary, SNC-Nowhere Dense and Domain Sets in Stable Neutrosophic Crisp Topological Spaces

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 مهر 1405    اصل مقاله (1.02 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2026.73490.3758
نویسندگان
Dheargham Ali Abdulsada* 1؛ L.A.A. Jabar2؛ Yasen Rajihy3
1Department of Mathematics, College of Education, University of Sumer, Iraq.
2Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Iraq.
3Department Networks, College of Information Technology, University of Babylon, Iraq.
چکیده
Based on the concept of SNC-nowhere dense sets, this paper develops a systematic study of several related local and structural notions in stable Neutrosophic crisp topological spaces. These notions provide a refined framework for analyzing the behavior of sets with respect to the different types of Neutrosophic crisp points, which distinguish this setting from classical topology. In particular, we introduce and investigate locally SNC-boundary sets and locally SNC-nowhere dense sets, and we establish their fundamental properties using closure and interior operators in the sense of stable Neutrosophic crisp topology. Moreover, we define SNC-closed domain sets and SNC-open domain sets as natural extensions of domain-type concepts to the Neutrosophic crisp context. We derive several characterizations, inclusion relations, and stability properties under finite unions and intersections, and we examine their connections with frontier-type operators. The results obtained clarify the interplay between global and local structures in stable Neutrosophic crisp spaces and contribute to a deeper understanding of their internal topological behavior, with potential relevance to further theoretical developments in generalized topological frameworks.
کلیدواژه‌ها
SNC؛ boundary sets and locally 𝑆𝑁𝐶؛ stability properties؛ topological behavior
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تعداد مشاهده مقاله: 6
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