International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Authors

Department of Mathematics, College of Education for Pure Science, Ibn Al-Haitham University of Baghdad, Iraq

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

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[5] M.O. Mustafa and R.B. Esmaeel, Separation axioms with grill-topological open set, J. Phys. Conf. Ser. 1879(2) (2021) 022107.
[6] M.O. Mustafa and R.B. Esmaeel, Some properties in grill-topological open and closed sets, J. Phys. Conf. Ser. 1897(1) (2021), 012038.
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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