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dc.contributor.authorCao, J
dc.contributor.authorGreenwood, S
dc.date.accessioned2011-11-11T00:59:01Z
dc.date.accessioned2012-04-02T00:56:46Z
dc.date.available2011-11-11T00:59:01Z
dc.date.available2012-04-02T00:56:46Z
dc.date.copyright2006
dc.date.issued2011-11-11
dc.identifier.citationApplied General Topology, vol.7(2), pp.253 - 264
dc.identifier.issn1576-9402
dc.identifier.urihttp://hdl.handle.net/10292/3562
dc.description.abstractIn this paper, we consider the ideal I_σ generated by all σ-nowhere dense sets in a topological space. Properties of this ideal and its relations with the Volterra property are explored. We show that I_σ is compatible with the topology for any given topological space, an analogue to the Banach category theorem. Some applications of this result and the Banach category theorem are also given.
dc.languageEnglish
dc.publisherUniversidad Politecnica de Valencia
dc.relation.replaceshttp://hdl.handle.net/10292/2512
dc.relation.replaces10292/2512
dc.relation.urihttp://agt.webs.upv.es/
dc.rightsCopyright © 2006 Applied General Topology - http://agt.webs.upv.es. All rights reserved. By special permission authors retain the right to place his/her publication version of the work on a personal website or institutional repository for non commercial purposes. The definitive version was published in (see Citation). The original publication is available at (see Publisher’s Version).
dc.subjectCompatible ideal
dc.subjectIdeal
dc.subjectResolvable
dc.subjectsigma-nowhere dense
dc.subjectVolterra
dc.subjectWeakly Volterra
dc.titleThe ideal generated by sigma-nowhere dense sets
dc.typeJournal Article
dc.rights.accessrightsOpenAccess
dc.identifier.roid9724en_NZ


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