Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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STUDY THE STRUCTURE OF DIFFERENCE LINDELÖF TOPOLOGICAL SPACES AND THEIR PROPERTIES

  • ALI A. ATOOM (Department of Mathematics, Faculty of Science, Ajloun National University) ;
  • HAMZA QOQAZEH (Department of Mathematics, Faculty of Arts and Science, Amman Arab University) ;
  • NABEELA ABU-ALKISHIK (Department of Mathematics, Faculty of Science, Jerash University)
  • Received : 2022.06.28
  • Accepted : 2024.02.16
  • Published : 2024.05.30
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Abstract

In this paper, the concept of D-sets will be applied to create D-lindelöf spaces, a new type of topological space covering the property. This is performed by using a D-cover, which is a special type of cover. The primary purpose of this work is to introduce the principles and concepts of D-lindelöf spaces. We look into their properties as well as their relationships with other topological spaces. The basic relationship between D-lindelöf spaces and lindelöf spaces, as well as many other topological spaces, will be given and described, including D-compact, D-countably compact, and D-countably lindelöf spaces. Many novel theories, facts, and illustrative and counter-examples will be investigated. We will use several informative instances to explore certain of the features of the Cartesian product procedure across D-lindelöf spaces as well as additional spaces under more conditions.

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References

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