On ω-independence and the Kunen-Shelah property
| dc.contributor.author | Suárez Granero, Antonio | |
| dc.contributor.author | Jiménez Sevilla, María Del Mar | |
| dc.contributor.author | Moreno, José Pedro | |
| dc.date.accessioned | 2023-06-20T16:57:44Z | |
| dc.date.available | 2023-06-20T16:57:44Z | |
| dc.date.issued | 2002-06 | |
| dc.description | Supported in part by DGICYT grants PB 97-0240 and BMF2000-0609. | |
| dc.description.abstract | We prove that spaces with an uncountable omega-independent family fail the Kunen-Shelah property. Actually, if {x(i)}(iis an element ofI) is an uncountable w-independent family, there exists an uncountable subset J.C I such that x(j) is not an element of (conv) over bar({x(i)}(iis an element ofj/{j}) for every j is an element of J. This improves a previous result due to Sersouri, namely that every uncountable omega-independent family contains a convex right-separated subfamily. | en |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Dirección General de Investigación Científica y Técnica (España) | |
| dc.description.sponsorship | BMF | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16386 | |
| dc.identifier.citation | Suátrez Granero, A., Jiménez Sevilla, M. M., Moreno, J. P. «ON $\omega$-INDEPENDENCE AND THE KUNEN–SHELAH PROPERTY». Proceedings of the Edinburgh Mathematical Society, vol. 45, n.o 2, junio de 2002, pp. 391-95. DOI.org (Crossref), https://doi.org/10.1017/S0013091500001061. | |
| dc.identifier.doi | 10.1017/S0013091500001061 | |
| dc.identifier.issn | 0013-0915 | |
| dc.identifier.officialurl | https//doi.org/10.1017/S0013091500001061 | |
| dc.identifier.relatedurl | http://journals.cambridge.org/download.php?file=%2F45393_1096F213E7B4D681B4962188EFC5A6ED_journals__PEM_PEM2_45_02_http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=2720208 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57522 | |
| dc.issue.number | 2 | |
| dc.journal.title | Proceedings of the Edinburgh Mathematical Society | |
| dc.language.iso | eng | |
| dc.page.final | 395 | |
| dc.page.initial | 391 | |
| dc.publisher | Cambridge Univ Press | |
| dc.relation.projectID | PB 97-0240 | |
| dc.relation.projectID | BMF 2000-0609 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | ω-independence | |
| dc.subject.keyword | Non-separable Banach spaces | |
| dc.subject.keyword | Kunen–Shelah property | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | On ω-independence and the Kunen-Shelah property | en |
| dc.type | journal article | |
| dc.volume.number | 45 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 1e1de236-bc56-40c0-a2d8-70742399900e | |
| relation.isAuthorOfPublication | 36c2a4e7-ac6d-450d-b64c-692a94ff6361 | |
| relation.isAuthorOfPublication.latestForDiscovery | 36c2a4e7-ac6d-450d-b64c-692a94ff6361 |
Download
Original bundle
1 - 1 of 1