Polynomial images of R-n
| dc.contributor.author | Fernando Galván, José Francisco | |
| dc.contributor.author | Gamboa Mutuberria, José Manuel | |
| dc.date.accessioned | 2023-06-20T16:51:16Z | |
| dc.date.available | 2023-06-20T16:51:16Z | |
| dc.date.issued | 2003 | |
| dc.description.abstract | Let R be a real closed field and n greater than or equal to 2. We prove that: (1) for every finite subset F of R", the semialgebraic set R"\F is a polynomial image of R"; and (2) for any independent linear forms 1, of R", the semialgebraic set {l(1) > 0,..., l(r) > 0} subset of R" is a polynomial image of R" | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGICYT | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15232 | |
| dc.identifier.doi | 10.1016/S0022-4049(02)00121-4 | |
| dc.identifier.issn | 0022-4049 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0022404902001214 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57238 | |
| dc.issue.number | 3 | |
| dc.journal.title | Journal of Pure and Applied Algebra | |
| dc.language.iso | eng | |
| dc.page.final | 254 | |
| dc.page.initial | 241 | |
| dc.publisher | Elsevier Science B.V. (North-Holland) | |
| dc.relation.projectID | PB98-0756-C02-01 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.keyword | Real | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Polynomial images of R-n | |
| dc.type | journal article | |
| dc.volume.number | 179 | |
| dcterms.references | C. Andradas, L. BrTocker, J.M. Ruiz, Constructible sets in real geometry, Ergebnisse der Mathematik,Vol. 33, Springer, Berlin, Heidelberg, New York, 1996. J. Bochnak, M. Coste, M.-F.Roy, G&eom&etrie alg&ebrique r&eelle, Ergebnisse der Mathematik, Vol. 12,Springer, Berlin, Heidelberg, New York, 1987. H. Delfs, M. Knebusch, Semialgebraic topology over a real closed 0eld II. Basic theory of semialgebraic spaces, Math. Z. 178 (2) (1981) 175–213. J.M. Gamboa, Reelle Algebraische Geometrie,Oberwolfach, June, 10th–16th, 1990. J.M. Gamboa, C. Ueno, Proper polynomial maps: the real case, Lecture Notes in Mathematics, Vol.1524, Springer, Berlin, 1992, pp. 240–256. Real AlgebraicGeometry (Rennes, 1991). Z. Jelonek, A geometry of polynomial transformations of the real plane, Bull. Polish Acad. Sci. Math.48 (1)(2000) 57–62. S. Pinchuk, A counterexample to the real Jacobian Conjecture, Math. Z. 217 (1994) 1–4. J.M. Ruiz, Semialgebraicand semianalyticsets, Cahiers d’Histoire des Math&ematiques, S&er. 2, No. 1,Institut Henri Poincar&e, 1991, pp. 59–70. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 499732d5-c130-4ea6-8541-c4ec934da408 | |
| relation.isAuthorOfPublication | 8fcb811a-8d76-49a2-af34-85951d7f3fa5 | |
| relation.isAuthorOfPublication.latestForDiscovery | 499732d5-c130-4ea6-8541-c4ec934da408 |
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