International Journal of Nonlinear Analysis and Applications

On some topological concepts via grill

Document Type : Research Paper

Authors

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

Abstract

In this work, the new grill concepts are studied using grill topological spaces and by using some defined sets where the set α-open sets are defined. Properties of this set and some relationships were presented, in addition to studying a set of functions, including open, closed and continuous functions, finding the relationship between them and giving examples and properties that belong to this set, which will be a starting point for studying many topological properties using this set.

Keywords

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[4] M.O. Mustafa and R.B. Esmaeel, Some properties in grill-topological open and closed sets, J. Phys. Conf. Ser. 1897(1) (2021), 012038.
[5] A.I. Nasir and R.B. Esmaeel, On α-J-space, JARDCS 11(1) (2019) 1379–1382.
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[7] S.G. Saeed and R.B. Esmaeel, Separation axioms via αg-open set, J. Phys. Conf. Ser. 1591(1) (2020) 012099.
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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 3765-3772
  • Receive Date: 12 December 2021
  • Revise Date: 07 January 2022
  • Accept Date: 03 February 2022