Title of article :
On some topological concepts via grill
Author/Authors :
Suliman, Saad S. Department of Mathematics - College of Education for Pure Science - Ibn Al-Haitham University of Baghdad, Iraq , Esmaeel, R. B. 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 :
Grill , alpha-open sets , alpha-closed sets , ₢*alpha-open function , ₢* alpha -c function
Journal title :
International Journal of Nonlinear Analysis and Applications
