On generalized ω-closed sets
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...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2011 |
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| _version_ | 1832554612085751808 |
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| author | Khalid Y. Al-Zoubi |
| author_facet | Khalid Y. Al-Zoubi |
| author_sort | Khalid Y. Al-Zoubi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0aa5b113293c4f039db1a507b3bb416d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0aa5b113293c4f039db1a507b3bb416d2025-02-03T05:50:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005132011202110.1155/IJMMS.2005.2011On generalized ω-closed setsKhalid Y. Al-Zoubi0Department of Mathematics, Faculty of Science, Yarmouk University, Irbid, JordanThe 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.http://dx.doi.org/10.1155/IJMMS.2005.2011 |
| spellingShingle | Khalid Y. Al-Zoubi On generalized ω-closed sets International Journal of Mathematics and Mathematical Sciences |
| title | On generalized ω-closed sets |
| title_full | On generalized ω-closed sets |
| title_fullStr | On generalized ω-closed sets |
| title_full_unstemmed | On generalized ω-closed sets |
| title_short | On generalized ω-closed sets |
| title_sort | on generalized ω closed sets |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2011 |
| work_keys_str_mv | AT khalidyalzoubi ongeneralizedōclosedsets |