A master’s thesis in the College of Education for Pure Sciences at the University of Wasit discussed a study of new categories of closed groups and their applications in topological spaces.

The thesis presented by the student Ahmed Hussein Wahhan aimed to introduce a new category of groups, which are closed groups, which are settled between the category of closed groups and the category of closed groups g.

The thesis showed that the application of these groups introduces a new class of topological space, which is T1/2 space, T1/2-s. Moreover, continuous maps, non-static maps, and interdependence were presented. Then a new type of generalized closed groups called the pre-generalized closed group was studied. closed group). Some of its properties have also been investigated. Introducing group-related and homeomorphism and discussing some properties, theory, reconfiguration and examples.

The thesis also showed the study of group forms, including generalized semi-closed groups, (closed groups), (closed groups g) and the relationship between them, and the studied (continuous and non-fixed maps, and the relationship between them.