SEQUENTIAL S-COMPACTNESS IN L-TOPOLOGICAL SPACES

In this paper, a new notion of sequential compactness is introduced in L-topological spaces, which is called sequentially S*-compactness. If L = [0, 1], sequential ultra-compactness, sequential N-compactness and sequential strong compactness imply sequential S*-compactness, and sequential S*-compact...

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Autor principal:	SHU-PING,LI
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2005
Materias:	L-topology constant a-sequence weak O-cluster point weak O-limit point sequentially S*-compactness
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000100001
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spelling	oai:scielo:S0716-091720050001000012005-07-06SEQUENTIAL S-COMPACTNESS IN L-TOPOLOGICAL SPACESSHU-PING,LI L-topology constant a-sequence weak O-cluster point weak O-limit point sequentially S-compactness In this paper, a new notion of sequential compactness is introduced in L-topological spaces, which is called sequentially S-compactness. If L = [0, 1], sequential ultra-compactness, sequential N-compactness and sequential strong compactness imply sequential S-compactness, and sequential S-compactness implies sequential F-compactness. The intersection of a sequentially S-compact L-set and a closed L-set is sequentially S-compact. The continuous image of an sequentially S-compact L-set is sequentially S-compact. A weakly induced L-space (X, T ) is sequentially S-compact if and only if (X, [T ]) is sequential compact. The countable product of sequential S-compact L-sets is sequentially S*-compactinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.24 n.1 20052005-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000100001en10.4067/S0716-09172005000100001
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	L-topology constant a-sequence weak O-cluster point weak O-limit point sequentially S*-compactness
spellingShingle	L-topology constant a-sequence weak O-cluster point weak O-limit point sequentially S-compactness SHU-PING,LI SEQUENTIAL S-COMPACTNESS IN L-TOPOLOGICAL SPACES*
description	In this paper, a new notion of sequential compactness is introduced in L-topological spaces, which is called sequentially S-compactness. If L = [0, 1], sequential ultra-compactness, sequential N-compactness and sequential strong compactness imply sequential S-compactness, and sequential S-compactness implies sequential F-compactness. The intersection of a sequentially S-compact L-set and a closed L-set is sequentially S-compact. The continuous image of an sequentially S-compact L-set is sequentially S-compact. A weakly induced L-space (X, T ) is sequentially S-compact if and only if (X, [T ]) is sequential compact. The countable product of sequential S-compact L-sets is sequentially S-compact
author	SHU-PING,LI
author_facet	SHU-PING,LI
author_sort	SHU-PING,LI
title	SEQUENTIAL S-COMPACTNESS IN L-TOPOLOGICAL SPACES
title_short	SEQUENTIAL S-COMPACTNESS IN L-TOPOLOGICAL SPACES
title_full	SEQUENTIAL S-COMPACTNESS IN L-TOPOLOGICAL SPACES
title_fullStr	SEQUENTIAL S-COMPACTNESS IN L-TOPOLOGICAL SPACES
title_full_unstemmed	SEQUENTIAL S-COMPACTNESS IN L-TOPOLOGICAL SPACES
title_sort	sequential s-compactness in l-topological spaces
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2005
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000100001
work_keys_str_mv	AT shupingli sequentialscompactnessinltopologicalspaces
_version_	1718439739578646528

SEQUENTIAL S*-COMPACTNESS IN L-TOPOLOGICAL SPACES*

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