International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 11, Pages 765-772
doi:10.1155/S0161171200004038

A unified theory of weak separation properties

Mahide Küçük1 and İdris Zorlutuna2

1Department of Mathematics, Faculty of Science, Anadolu University, Eskışehır 26470, Turkey
2Department of Mathematics, Faculty of Science, Cumhuriyet University, Sıvas 58140, Turkey

Abstract

We devise a framework which leads to the formulation of a unified theory of normality (regularity), semi-normality (semi-regularity), s-normality (s-regularity), feebly-normality (feebly-regularity), pre-normality (pre-regularity), and others. Certain aspects of theory are given by unified proof.