SPN-COMPACTNESS IN L-TOPOLOGICAL SPACES

dc.creatorGUO XU,ZHEN
dc.creatorGUI SHI,FU
dc.date2006-05-01
dc.date.accessioned2017-03-07T15:37:58Z
dc.date.available2017-03-07T15:37:58Z
dc.identifierhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000100004
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/388457
dc.descriptionIn 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
dc.formattext/html
dc.languageen
dc.publisherUniversidad Católica del Norte, Departamento de Matemáticas
dc.sourceProyecciones (Antofagasta) v.25 n.1 2006
dc.subjectL-topological space
dc.subjectstrongly preopen L-set
dc.subjectstrongly preclosed L-set
dc.subjectSPN-compactness
dc.subjectcountable SPN-compactness
dc.subjectthe SPN-Lindelöf property
dc.titleSPN-COMPACTNESS IN L-TOPOLOGICAL SPACES
dc.typeArtículos de revistas


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