Professor Dr. of Mathematics, General Topology and its Applications
PhD in Mathematical Sciences
Head of Graduate Studies at Ibn Al-Haytham College of Education for Pure Sciences
I received numerous letters of thanks and appreciation from college deans, university presidents, and the Minister of Higher Education and Scientific Research.
General Topology and its Applications
General Topology and its Applications
I taught several levels in undergraduate studies for general topology, advanced computing, and advanced calculus. I also taught research methodology and topology and its applications in graduate studies.
I supervised many undergraduate students in their graduation research, as well as many master's theses and doctoral dissertations.
The primary objective of this work pertains to the examination of a new class of grill topological spaces denominated as AE-space. This nomenclature is rooted in the delineation of said spaces upon a non-empty set, upon which a myriad of topological structures is imposed via an arbitrary grill. The construction of these grill topologies precedes the establishment of our nascent topological construct through the intersection of these individualized topologies. In this discourse, we introduce and rigorously define the notions of AE-open sets and AE-closed sets. Furthermore, we establish the result that the AE-space exhibits the fundamental attributes of a topological space, assuming the absence of pairwise disjoint non-empty sets within th
... Show MoreWe use the idea of Grill, this study generalized a new sort of linked space like –connected –hyperconnected and investigated its features, as well as the relationship between it and previously described notation. It also developed new sorts of functions, such as hyperconnected space, and identifying their relationship, by offering numerous instance and attributes that belong to this set. This set will serve as a starting point for further research into the sets many future possibilities. Also, we use some of the theorems and observations previously studied and relate them to the grill and the Alpha group, and benefit from them in order to obtain new results in this research. We applied the concept of Connected to them and obtained
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