International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 13, Pages 2011-2021
doi:10.1155/IJMMS.2005.2011
On generalized ω-closed sets
Department of Mathematics, Faculty of Science, Yarmouk University, Irbid, Jordan
Received 31 October 2004; Revised 3 July 2005
Copyright © 2005 Khalid Y. Al-Zoubi. 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 class of ω-closed subsets of a space
(X,τ) was defined to introduce ω-closed functions. The aim of this paper is to introduce and study the class of
gω-closed sets. This class of sets is finer than g-closed
sets and ω-closed sets. We study the fundamental properties
of this class of sets. In the space (X,τω), the concepts closed set, g-closed set, and gω-closed set
coincide. Further, we introduce and study gω-continuous and
gω-irresolute functions.