Polynomial and regular images of R-n

We obtain new necessary conditions for an n-dimensional semialgebraic subset of R-n to be a polynomial image of R-n. Moreover, we prove that a large family of planar bidimensional semialgebraic sets with piecewise linear boundary are images of polynomial or regular maps, and we estimate in both case...

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Detalles Bibliográficos
Autores: Fernando Galván, José Francisco, Gamboa Mutuberria, José Manuel
Tipo de recurso: artículo
Fecha de publicación:2006
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/49904
Acceso en línea:https://hdl.handle.net/20.500.14352/49904
Access Level:acceso abierto
Palabra clave:512.7
Geometria algebraica
1201.01 Geometría Algebraica
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spelling Polynomial and regular images of R-nFernando Galván, José FranciscoGamboa Mutuberria, José Manuel512.7Geometria algebraica1201.01 Geometría AlgebraicaWe obtain new necessary conditions for an n-dimensional semialgebraic subset of R-n to be a polynomial image of R-n. Moreover, we prove that a large family of planar bidimensional semialgebraic sets with piecewise linear boundary are images of polynomial or regular maps, and we estimate in both cases the dimension of their generic fibers.Hebrew University Magnes PressUniversidad Complutense de Madrid20062006-01-0120062006-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/49904reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/499042026-06-02T12:44:21Z
dc.title.none.fl_str_mv Polynomial and regular images of R-n
title Polynomial and regular images of R-n
spellingShingle Polynomial and regular images of R-n
Fernando Galván, José Francisco
512.7
Geometria algebraica
1201.01 Geometría Algebraica
title_short Polynomial and regular images of R-n
title_full Polynomial and regular images of R-n
title_fullStr Polynomial and regular images of R-n
title_full_unstemmed Polynomial and regular images of R-n
title_sort Polynomial and regular images of R-n
dc.creator.none.fl_str_mv Fernando Galván, José Francisco
Gamboa Mutuberria, José Manuel
author Fernando Galván, José Francisco
author_facet Fernando Galván, José Francisco
Gamboa Mutuberria, José Manuel
author_role author
author2 Gamboa Mutuberria, José Manuel
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 512.7
Geometria algebraica
1201.01 Geometría Algebraica
topic 512.7
Geometria algebraica
1201.01 Geometría Algebraica
description We obtain new necessary conditions for an n-dimensional semialgebraic subset of R-n to be a polynomial image of R-n. Moreover, we prove that a large family of planar bidimensional semialgebraic sets with piecewise linear boundary are images of polynomial or regular maps, and we estimate in both cases the dimension of their generic fibers.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01
2006
2006-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/49904
url https://hdl.handle.net/20.500.14352/49904
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Hebrew University Magnes Press
publisher.none.fl_str_mv Hebrew University Magnes Press
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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