Pairwise [Ω.sup.]-closed sets and Ωp-closed sets in bitopological spaces
In this paper we introduce the concepts of pairwise [Ω.sup.*]-closed sets and Ωp-closed sets in bitopological spaces. Also we introduce and study pairwise [Ω.sup.*]-continuous functions and Ωp-continuous functions and prove pasting lemma for these functions. Moreover, we introduce new classes of bit...
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| Veröffentlicht in: | Bulletin of pure & applied sciences. Sec. E, Mathematics & statistics Mathematics & statistics, 2008-01, Vol.27 (1), p.187 |
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| container_title | Bulletin of pure & applied sciences. Sec. E, Mathematics & statistics |
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| creator | Arockiarani, I Mercy, J |
| description | In this paper we introduce the concepts of pairwise [Ω.sup.*]-closed sets and Ωp-closed sets in bitopological spaces. Also we introduce and study pairwise [Ω.sup.*]-continuous functions and Ωp-continuous functions and prove pasting lemma for these functions. Moreover, we introduce new classes of bitopological spaces called ([τ.sub.i], [τ.sub.j]) -[Ω.sup.*]-T1/2 and ([τ.sub.i], [τ.sub.j])-[Ω.sup.*]-Tp spaces and obtain their characterizations. Key words: ([τ.sub.i], [t.sub.j])-[Ω.sup.*]-closed, ([τ.sub.i], [τ.sub.j])-Ωp-closed, ([τ.sub.i], [τ.sub.j])-[Ω.sup.*]-continuity, ([τ.sub.i], [τ.sub.j])-Ωp-continuity, ([τ.sub.i], [τ.sub.j]) -[Ω.sup.*]-T1/2 space and ([τ.sub.i], [τ.sub.j])-[Ω.sup.*]-Tp. |
| format | Article |
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Also we introduce and study pairwise [Ω.sup.*]-continuous functions and Ωp-continuous functions and prove pasting lemma for these functions. Moreover, we introduce new classes of bitopological spaces called ([τ.sub.i], [τ.sub.j]) -[Ω.sup.*]-T1/2 and ([τ.sub.i], [τ.sub.j])-[Ω.sup.*]-Tp spaces and obtain their characterizations. Key words: ([τ.sub.i], [t.sub.j])-[Ω.sup.*]-closed, ([τ.sub.i], [τ.sub.j])-Ωp-closed, ([τ.sub.i], [τ.sub.j])-[Ω.sup.*]-continuity, ([τ.sub.i], [τ.sub.j])-Ωp-continuity, ([τ.sub.i], [τ.sub.j]) -[Ω.sup.*]-T1/2 space and ([τ.sub.i], [τ.sub.j])-[Ω.sup.*]-Tp.</description><identifier>ISSN: 0970-6577</identifier><language>eng</language><publisher>A.K. Sharma, Ed & Pub</publisher><subject>Fuzzy sets ; Observations ; Properties ; Set theory ; Topological spaces</subject><ispartof>Bulletin of pure & applied sciences. Sec. E, Mathematics & statistics, 2008-01, Vol.27 (1), p.187</ispartof><rights>COPYRIGHT 2008 A.K. 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Moreover, we introduce new classes of bitopological spaces called ([τ.sub.i], [τ.sub.j]) -[Ω.sup.*]-T1/2 and ([τ.sub.i], [τ.sub.j])-[Ω.sup.*]-Tp spaces and obtain their characterizations. 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Sharma, Ed & Pub</general><scope/></search><sort><creationdate>20080101</creationdate><title>Pairwise [Ω.sup.]-closed sets and Ωp-closed sets in bitopological spaces</title><author>Arockiarani, I ; Mercy, J</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-g677-bc5497a29940f48687153a653ead2ceddb2133e117b4ce553e486e4910d14cc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Fuzzy sets</topic><topic>Observations</topic><topic>Properties</topic><topic>Set theory</topic><topic>Topological spaces</topic><toplevel>online_resources</toplevel><creatorcontrib>Arockiarani, I</creatorcontrib><creatorcontrib>Mercy, J</creatorcontrib><jtitle>Bulletin of pure & applied sciences. Sec. E, Mathematics & statistics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Arockiarani, I</au><au>Mercy, J</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Pairwise [Ω.sup.]-closed sets and Ωp-closed sets in bitopological spaces</atitle><jtitle>Bulletin of pure & applied sciences. Sec. E, Mathematics & statistics</jtitle><date>2008-01-01</date><risdate>2008</risdate><volume>27</volume><issue>1</issue><spage>187</spage><pages>187-</pages><issn>0970-6577</issn><abstract>In this paper we introduce the concepts of pairwise [Ω.sup.*]-closed sets and Ωp-closed sets in bitopological spaces. Also we introduce and study pairwise [Ω.sup.*]-continuous functions and Ωp-continuous functions and prove pasting lemma for these functions. Moreover, we introduce new classes of bitopological spaces called ([τ.sub.i], [τ.sub.j]) -[Ω.sup.*]-T1/2 and ([τ.sub.i], [τ.sub.j])-[Ω.sup.*]-Tp spaces and obtain their characterizations. Key words: ([τ.sub.i], [t.sub.j])-[Ω.sup.*]-closed, ([τ.sub.i], [τ.sub.j])-Ωp-closed, ([τ.sub.i], [τ.sub.j])-[Ω.sup.*]-continuity, ([τ.sub.i], [τ.sub.j])-Ωp-continuity, ([τ.sub.i], [τ.sub.j]) -[Ω.sup.*]-T1/2 space and ([τ.sub.i], [τ.sub.j])-[Ω.sup.*]-Tp.</abstract><pub>A.K. Sharma, Ed & Pub</pub></addata></record> |
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| ispartof | Bulletin of pure & applied sciences. Sec. E, Mathematics & statistics, 2008-01, Vol.27 (1), p.187 |
| issn | 0970-6577 |
| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Fuzzy sets Observations Properties Set theory Topological spaces |
| title | Pairwise [Ω.sup.]-closed sets and Ωp-closed sets in bitopological spaces |
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