On generalized ω -closed sets

Khalid Y. Al-Zoubi

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-11

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 g ω -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 , τ ω ) , the concepts closed set, g -closed set, and g ω -closed set coincide. Further, we introduce and study g ω -continuous and g ω -irresolute functions.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:153616

DOI: 10.1155/IJMMS.2005.2011

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