On some topological concepts via grill

Document Type : Research Paper


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


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.