International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 4, Pages 747-750
doi:10.1155/S0161171296001032
Application on local discrete expansion
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
Received 2 June 1992; Revised 14 September 1995
Copyright © 1996 M. E. Abd El-Monsef et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.