Discussion of the Doctorial thesis in the College of Computer Science and Mathematics -Department of (Department of Mathematics) entitled: “Z- Micro Topological Space”  supervised by  Asst.Prof.Dr. ekram  

We introduce a new type of Micro open sets, called Micro_Z open sets. It is shown that the collection of all such sets forms a topology on the universal set U, giving rise to a new topological space referred to as the Micro -Z -topological space.

Moreover, several classes of μ–open sets are defined, including –open sets.  Semi–open sets, –open sets, –open sets, –open sets  and  –open sets. In addition, the relationships among these classes  and some of their fundamental properties are investigated.

Through these sets we gave a New definition of continuity, we called it continuity of type Z, and studied its relationships with types of continuity from other types.

We provided many examples and justifications for these functions, and then We found a new application to the space that we presented its definition, which is space (MicroZ– space)  this application relates to type 2 diabetes.

The discussion committee consists of

• Dr. Hossm Qasim Mohammed (Chairman)
• Dr. Khidr Mohmmed Salih (Member)
• Dr. Baraa Mahmoud Sulaiman (Member)
• Dr.  (Member & Supervisor)