On $\mu$-L-closed, q-compact and q-Lindelöf spaces in generalized topological spaces

Document Type : Research Paper


1 Department of Basic Science and Humanities, Faculty of Arts and Science, Applied Science Private University, Amman, Jordan

2 Department of Mathematics, Faculty of Arts and Sciences, University of Petra, Amman, Jordan

3 Department of Mathematics, Faculty of Science and Arts, Taibah University, Al-Madinah, Saudi Arabia

4 Basic Sciences Department, Al-Zarqa University College, Al-Balqa Applied University, Jordan

5 College of Commerce and Business, Lusail University, Doha, Qatar


The research paper's main goal is to propose the notions of $\mu$-L-closed, $q$-compact and $q$-Lindelöf spaces in generalized topological spaces. A number of properties concerning those new spaces are investigated and the characteristics of mappings are explored. The traditional definitions and attributes of common generalized topological spaces are applied to the newly formed mathematical concept.