The ideal generated by sigma-nowhere dense sets

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aut.researcherCao, Jiling
dc.contributor.authorCao, J
dc.contributor.authorGreenwood, S
dc.date.accessioned2011-11-11T00:59:01Z
dc.date.available2011-11-11T00:59:01Z
dc.date.copyright2006
dc.date.issued2006
dc.description.abstractIn this paper, we consider the ideal I¾ generated by all ¾-nowhere dense sets in a topological space. Properties of this ideal and its relations with the Volterra property are explored. We show that I¾ 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.identifier.citationApplied General Topology, vol.7(2), pp.253 - 264
dc.identifier.issn1576-9402 (print)
dc.identifier.roid9724en_NZ
dc.identifier.urihttps://hdl.handle.net/10292/2512
dc.publisherApplied General Topology, Universidad Politecnica de Valencia
dc.relation.isreplacedby10292/3562
dc.relation.isreplacedbyhttp://hdl.handle.net/10292/3562
dc.relation.urihttp://agt.webs.upv.es/Volumes/V7N2/CaoGree7.pdf
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.rights.accessrightsOpenAccess
dc.subjectCompatible
dc.subjectIdeal
dc.subjectResolvable
dc.subject¾-nowhere dense
dc.subjectVolterra
dc.subjectWeakly Volterra
dc.titleThe ideal generated by sigma-nowhere dense sets
dc.typeJournal Article
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