International Journal of Engineering and Information Systems (IJEAIS)   Year: 2022 | Volume: 6 | Issue: 3 | Page No.: 1-4 Some Variants of Regular Closure Spaces and the Continuity on Regularity Space Download PDF Dr. Neeran Tahir Abd Alameer and Marwa Abd Ali Hussein Abstract: New generalizations of regularity space in closure space such as regular space, semi-regular space and semi generalized-regular space will be introduced, and we will denote briefly by (scl -regular space) for semi-regular space and (sgcl -regular space) for semi generalized-regular space. Also, this paper describes several notions of its basic properties. In addition, the concept of the continuity on regularity is studied by using of scl -regular space and prove some important propositions and theorems.