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

Document Type : Research Paper


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


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.