Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220211101Feeble regular and feeble normal spaces in $\alpha$-topological spaces using graph415423505110.22075/ijnaa.2021.5051ENBalqees K.MahmoudDepartment of Mathematics, College of Education for Pure Sciences
(Ibn Al-Haitham), University of Baghdad, IraqYousif Y.YousifDepartment of Mathematics, College of Education for Pure Sciences (Ibn Al-Haitham), University of Baghdad, IraqJournal Article20210219This paper introduces some properties of separation axioms called $\alpha$ -feeble regular and $\alpha$ -feeble normal spaces (which are weaker than the usual axioms) by using elements of graph which are the essential parts of our $\alpha$ -topological spaces that we study them. Also, it presents some dependent concepts and studies their properties and some relationships between them.https://ijnaa.semnan.ac.ir/article_5051_9627a38c823211c6800abe1f20e9854e.pdf