On generalized ω‐closed sets | Zendy

Khalid Y. Al-Zoubi | Zendy

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On generalized ω‐closed sets

Author(s) -

Khalid Y. Al-Zoubi

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.2011

Subject(s) - closed set , mathematics , class (philosophy) , set (abstract data type) , space (punctuation) , open and closed maps , discrete mathematics , topological space , pure mathematics , algebra over a field , combinatorics , computer science , artificial intelligence , programming language , operating system

The class of ÃÂ‰-closed subsets of a space (X,ÃÂ„) was defined to introduce ÃÂ‰-closed functions. The aim of this paper is to introduce and study the class of gÃÂ‰-closed sets. This class of sets is finer than g-closed sets and ÃÂ‰-closed sets. We study the fundamental properties of this class of sets. In the space (X,ÃÂ„ÃÂ‰), the concepts closed set, g-closed set, and gÃÂ‰-closed set coincide. Further, we introduce and study gÃÂ‰-continuous and gÃÂ‰-irresolute functions

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