Some results for generalizations of semi-open sets in topological spaces

Document Type : Research Paper

Authors
Ali J. Mahmood
A. I. Naser
Department of Mathematics, College of Education for Pure Science, Ibn Al-Haitham University of Baghdad, Iraq
10.22075/ijnaa.2022.6165
Abstract
This research generalized new types of semi-open sets using the concept of the grill and studied its properties, as well as the relationship between it and old concepts defined, as well as defining a new type of functions such as open and closed sets and determining the relationship between them, and providing many examples and properties that belong to this set, and this set will be a starting point to investigate the many futures of this set.
Keywords
Grill
semi-open sets
semi-closed sets
₲textsuperscript{*}-s-o function
₲textsuperscript{*}-s-c function
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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 3803-3809

  • Receive Date 10 November 2021
  • Revise Date 17 December 2021
  • Accept Date 18 January 2022

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