COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY IN L-FUZZY TOPOLOGICAL SPACES

In this paper, the concepts of L-fuzzy countable compactness and the L-fuzzy Lindelof property are introduced in L-fuzzy topological spaces, where L is a completely distributive DeMorgan algebra. An L-fuzzy compact L-fuzzy set is L-fuzzy countably compact and has the L-fuzzy Lindel¨of property. An L...

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Autores principales:	Xiang Li,Run, Gui Shi,Fu
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2010
Materias:	L-fuzzy topology L-fuzzy countable compactness the L-fuzzy Lindel¨of property
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000200005
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spelling	oai:scielo:S0716-091720100002000052014-08-14COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY IN L-FUZZY TOPOLOGICAL SPACESXiang Li,RunGui Shi,Fu L-fuzzy topology L-fuzzy countable compactness the L-fuzzy Lindel¨of property In this paper, the concepts of L-fuzzy countable compactness and the L-fuzzy Lindelof property are introduced in L-fuzzy topological spaces, where L is a completely distributive DeMorgan algebra. An L-fuzzy compact L-fuzzy set is L-fuzzy countably compact and has the L-fuzzy Lindel¨of property. An L-fuzzy set having the L-fuzzy Lindelof property is L-fuzzy countably compact if and only if it is L-fuzzy compact. Many characterizations of L-fuzzy countable compactness and the L-fuzzy Lindelof property are presented.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.29 n.2 20102010-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000200005en10.4067/S0716-09172010000200005
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	L-fuzzy topology L-fuzzy countable compactness the L-fuzzy Lindel¨of property
spellingShingle	L-fuzzy topology L-fuzzy countable compactness the L-fuzzy Lindel¨of property Xiang Li,Run Gui Shi,Fu COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY IN L-FUZZY TOPOLOGICAL SPACES
description	In this paper, the concepts of L-fuzzy countable compactness and the L-fuzzy Lindelof property are introduced in L-fuzzy topological spaces, where L is a completely distributive DeMorgan algebra. An L-fuzzy compact L-fuzzy set is L-fuzzy countably compact and has the L-fuzzy Lindel¨of property. An L-fuzzy set having the L-fuzzy Lindelof property is L-fuzzy countably compact if and only if it is L-fuzzy compact. Many characterizations of L-fuzzy countable compactness and the L-fuzzy Lindelof property are presented.
author	Xiang Li,Run Gui Shi,Fu
author_facet	Xiang Li,Run Gui Shi,Fu
author_sort	Xiang Li,Run
title	COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY IN L-FUZZY TOPOLOGICAL SPACES
title_short	COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY IN L-FUZZY TOPOLOGICAL SPACES
title_full	COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY IN L-FUZZY TOPOLOGICAL SPACES
title_fullStr	COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY IN L-FUZZY TOPOLOGICAL SPACES
title_full_unstemmed	COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY IN L-FUZZY TOPOLOGICAL SPACES
title_sort	countable compactness and the lindelof property in l-fuzzy topological spaces
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2010
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000200005
work_keys_str_mv	AT xianglirun countablecompactnessandthelindelofpropertyinlfuzzytopologicalspaces AT guishifu countablecompactnessandthelindelofpropertyinlfuzzytopologicalspaces
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COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY IN L-FUZZY TOPOLOGICAL SPACES

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