iD-Sets and Associated Separation Axioms

In this paper, we introduce <em>iD</em>-sets which are depends on i-open sets [12]. Where we discussed the relationship between this sets and other types of sets, In addition, we discussed the relationship between the separation axioms for this type of sets with one hand and their relati...

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Bibliographic Details
Main Author: Marwan Jardo
Format: Article
Language:Arabic
Published: College of Education for Pure Sciences 2019-03-01
Series:مجلة التربية والعلم
Subjects:
Online Access:https://edusj.mosuljournals.com/article_160912_eb16ad66833a52b7fc14ca60bc6cab86.pdf
Description
Summary:In this paper, we introduce <em>iD</em>-sets which are depends on i-open sets [12]. Where we discussed the relationship between this sets and other types of sets, In addition, we discussed the relationship between the separation axioms for this type of sets with one hand and their relationship with i-separation axioms [1] on the other hand. Also we introduce i-symmetric typological space and the weakly -space. The most important results that we have obtained i-symmetric topological space which topologically extended for i-open sets will be -space if and only if it is - Space.
ISSN:1812-125X
2664-2530