On some topological concepts via grill

	On some topological concepts via grill
International Journal of Nonlinear Analysis and Applications
دوره 13، شماره 1، خرداد 2022، صفحه 3765-3772 اصل مقاله (331.35 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6158
نویسندگان
Saad S. Suliman^* ؛ R. B. Esmaeel
Department of Mathematics College of Education for Pure Science, Ibn Al-Haitham University of Baghdad, Iraq
چکیده
In this work, the new grill concepts are studied using grill topological spaces and by using some defined sets where the set $\alpha$-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.
کلیدواژه‌ها
Grill؛ $\alpha$-open sets؛ $\alpha$-closed sets؛ ₢$\alpha$-open function؛ ₢$\alpha$-c function
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