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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