Separation axioms of ING-induced topology from TRI-topological space on simple graph

被引：0

作者：

Jafar, Ammar Mmousa ^{[1
]}

Zainy, Zainab Redha ^{[2
]}

Hassan, Asmhan Flieh ^{[3
]}

机构：

[1] Directorate Gen Educ, Dept Math, Al Diwaneyah 58001, Iraq

[2] Directorate Gen Educ, Dept Math, Karbala 56001, Iraq

[3] Univ Kufa, Fac Educ Girls, Dept Math, Kufa 540011, Iraq

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2025年 / 28卷 / 01期

关键词：

Simple graph; Tri-topological spaces; Independent topology; Non-incidence topology; Graphic topology; ING-Ti (i=0,1,2,3,4) space;

D O I：

10.47974/JIM-1851

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The previous paper introduces the definitions of the separation axioms of ING-Induced Topolgy From Tritopological Space on simple graph, and their basic features are explored in relation to three unique and well-known topologies associated with graph, which are; (Independent Topology), (Non-Incidence Topology) and (Graphic Topology). That is, the ING - Ti (i=0,1,2,3,4)spaces and notions of ING-normal and ING-regular spaces are studied in detail, and we offer various theorems that demonstrate how one of the ING-topological spaces implies the others using numerous instances.Giving afundamental step towards researching of simple graphs our rationale stems from the equivalent ING-separation axioms for tri-topological spaces.

引用

页码：211 / 221

页数：11