International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 4, Pages 747-750
doi:10.1155/S0161171296001032

Application on local discrete expansion

M.E. Abd El-Monsef , A.M. Kozae and A.A. Abo Khadra

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Abstract

The process of changing a topology by some types of its local discrete expansion preserves s-closeness, S-closeness, semi-compactness, semi-Ti, semi-Ri, i∈{0,1,2}, and extremely disconnectness. Via some other forms of such above replacements one can have topologies which satisfy separation axioms the original topology does not have.