g_*^*-I-Closed Sets and Their Properties in in Ideal Topological Space

There are many research papers that deal with different types of generalized closed sets. Levine [4] introduced generalized closed (briefly, -closed) sets and studied their basic properties and Veera Kumar [5] introduced -closed sets in topological spaces. The purpose of this present paper is to def...

Full description

Saved in:
Bibliographic Details
Main Authors: Rughzai Mahamood, Darwesh Mohammed
Format: Article
Language:Arabic
Published: College of Computer Science and Mathematics, University of Mosul 2025-05-01
Series:المجلة العراقية للعلوم الاحصائية
Subjects:
Online Access:https://stats.uomosul.edu.iq/article_187753_e0d33f3d948a5941a79bf987e1eaf1a3.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:There are many research papers that deal with different types of generalized closed sets. Levine [4] introduced generalized closed (briefly, -closed) sets and studied their basic properties and Veera Kumar [5] introduced -closed sets in topological spaces. The purpose of this present paper is to define a new class of generalized idea closed sets called -closed sets by using -open set .In this paper, we introduce the -closed sets, characterizations and properties of -closed sets and its complement and other related sets. We prove that the class of  closed sets lies between the class of -closed sets and the class of        -closed sets. Also, we find some relations between -closed sets and already existing closed sets. -open neighborhood is introduced and their properties are investigated.
ISSN:1680-855X
2664-2956