Continued fractions and order-preserving homeomorphism.
| dc.contributor.author | Gallego Lupiáñez, Francisco | |
| dc.date.accessioned | 2023-06-20T16:51:36Z | |
| dc.date.available | 2023-06-20T16:51:36Z | |
| dc.date.issued | 2001 | |
| dc.description.abstract | We study in this paper a modification of continued fractions defined by the author, such that its lexicographic order coincides with the linear order of real numbers. This fact has beautiful consequences in Topology. Indeed, it gives the possibility to construct a nice open basis for the Sorgenfrey line. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15302 | |
| dc.identifier.doi | 10.1016/S0377-0427(00)00617-8 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0377042700006178 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57253 | |
| dc.issue.number | 1-2 | |
| dc.journal.title | Journal of Computational and Applied Mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 258 | |
| dc.page.initial | 255 | |
| dc.publisher | Elsevier Science Bv | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 511 | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | Continued fractions | |
| dc.subject.keyword | Topology | |
| dc.subject.keyword | Open basis | |
| dc.subject.ucm | Teoría de números | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1205 Teoría de Números | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Continued fractions and order-preserving homeomorphism. | |
| dc.type | journal article | |
| dc.volume.number | 136 | |
| dcterms.references | M.Khalouani, S.Labhalla, H.Lombardi, L Etude constructive de problMemes de topologie pour les rLeels irrationnels, Math.Logic Quart.45 (1999) 257–288. S.Labhalla, H.Lombardi, Real numbers, continued fractions and complexity classes, Ann.Pure Appl.Logic 50 (1990) 1–28. F.G. LupiLa˜nez, On continued fractions and the Sorgenfrey line, Quest.& Ans.Gen.Topology 8 (1990) 457–465. N.Lusin, Sur les emsembles analytiques, Fund.Math.10 (1927) 1–95. H.J.S. Smith, Note on continued fractions, Messenger Math. 6 (1877) 1–14. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | d690c2bd-762b-4bd2-a8ba-11c504ad15d5 | |
| relation.isAuthorOfPublication.latestForDiscovery | d690c2bd-762b-4bd2-a8ba-11c504ad15d5 |
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