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The ideal generated by σ-nowhere dense sets

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The ideal generated by σ-nowhere dense sets

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dc.contributor.author Cao, Jiling es_ES
dc.contributor.author Greenwood, Sina es_ES
dc.date.accessioned 2017-06-16T10:10:54Z
dc.date.available 2017-06-16T10:10:54Z
dc.date.issued 2006-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/83049
dc.description.abstract [EN] In this paper, we consider the ideal Iσ 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 Iσ 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. es_ES
dc.description.sponsorship The first author was supported by the Foundation for Research, Science and Technology of New Zealand under project number UOAX0240.
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Compatible es_ES
dc.subject Ideal es_ES
dc.subject Resolvable es_ES
dc.subject σ-nowhere dense es_ES
dc.subject Volterra es_ES
dc.subject Weakly Volterra es_ES
dc.title The ideal generated by σ-nowhere dense sets es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-16T08:57:22Z
dc.identifier.doi 10.4995/agt.2006.1928
dc.relation.projectID info:eu-repo/grantAgreement/FRST//UOAX0240/ es_ES
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Cao, J.; Greenwood, S. (2006). The ideal generated by σ-nowhere dense sets. Applied General Topology. 7(2):253-264. https://doi.org/10.4995/agt.2006.1928 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2006.1928 es_ES
dc.description.upvformatpinicio 253 es_ES
dc.description.upvformatpfin 264 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 7
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.contributor.funder Foundation for Research, Science and Technology, Nueva Zelanda


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