SPN-COMPACTNESS IN L-TOPOLOGICAL SPACES

In this paper, the notions of SPN-compactness, countable SPNcompactness and the SPN-Lindelöf property are introduced in L-topological spaces by means of strongly preclosed L-sets. In an L-space, an Lset having the SPN-Lindelöf property is SPN-compact if and only if it is countably SPN-compact. (Coun...

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Autores principales:	GUO XU,ZHEN, GUI SHI,FU
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2006
Materias:	L-topological space strongly preopen L-set strongly preclosed L-set SPN-compactness countable SPN-compactness the SPN-Lindelöf property
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000100004
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spelling	oai:scielo:S0716-091720060001000042006-06-07SPN-COMPACTNESS IN L-TOPOLOGICAL SPACESGUO XU,ZHENGUI SHI,FU L-topological space strongly preopen L-set strongly preclosed L-set SPN-compactness countable SPN-compactness the SPN-Lindelöf property In this paper, the notions of SPN-compactness, countable SPNcompactness and the SPN-Lindelöf property are introduced in L-topological spaces by means of strongly preclosed L-sets. In an L-space, an Lset having the SPN-Lindelöf property is SPN-compact if and only if it is countably SPN-compact. (Countable) SPN-compactness implies (countable) N-compactness, the SPN-Lindelöf property implies the N-Lindelöf property, but each inverse is not true. Every L-set with finite support is SPN-compact. The intersection of an (a countable) SPN-compact L-set and a strongly preclosed L-set is (countably) SPNcompact. The strong preirresolute image of an (a countable) SPNcompact L-set is (countably) SPN-compact. Moreover SPN-compactness can be characterized by netsinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.25 n.1 20062006-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000100004en10.4067/S0716-09172006000100004
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	L-topological space strongly preopen L-set strongly preclosed L-set SPN-compactness countable SPN-compactness the SPN-Lindelöf property
spellingShingle	L-topological space strongly preopen L-set strongly preclosed L-set SPN-compactness countable SPN-compactness the SPN-Lindelöf property GUO XU,ZHEN GUI SHI,FU SPN-COMPACTNESS IN L-TOPOLOGICAL SPACES
description	In this paper, the notions of SPN-compactness, countable SPNcompactness and the SPN-Lindelöf property are introduced in L-topological spaces by means of strongly preclosed L-sets. In an L-space, an Lset having the SPN-Lindelöf property is SPN-compact if and only if it is countably SPN-compact. (Countable) SPN-compactness implies (countable) N-compactness, the SPN-Lindelöf property implies the N-Lindelöf property, but each inverse is not true. Every L-set with finite support is SPN-compact. The intersection of an (a countable) SPN-compact L-set and a strongly preclosed L-set is (countably) SPNcompact. The strong preirresolute image of an (a countable) SPNcompact L-set is (countably) SPN-compact. Moreover SPN-compactness can be characterized by nets
author	GUO XU,ZHEN GUI SHI,FU
author_facet	GUO XU,ZHEN GUI SHI,FU
author_sort	GUO XU,ZHEN
title	SPN-COMPACTNESS IN L-TOPOLOGICAL SPACES
title_short	SPN-COMPACTNESS IN L-TOPOLOGICAL SPACES
title_full	SPN-COMPACTNESS IN L-TOPOLOGICAL SPACES
title_fullStr	SPN-COMPACTNESS IN L-TOPOLOGICAL SPACES
title_full_unstemmed	SPN-COMPACTNESS IN L-TOPOLOGICAL SPACES
title_sort	spn-compactness in l-topological spaces
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2006
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000100004
work_keys_str_mv	AT guoxuzhen spncompactnessinltopologicalspaces AT guishifu spncompactnessinltopologicalspaces
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SPN-COMPACTNESS IN L-TOPOLOGICAL SPACES

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