A note on projections of real algebraic varieties.

We prove that any regularly closed semialgebraic set of R", where R is any real closed field and regularly closed means that it is the closure of its interior, is the projection under a finite map of an irreducible algebraic variety in some Rn + k. We apply this result to show that any clopen s...

Descripción completa

Detalles Bibliográficos
Autores: Andradas Heranz, Carlos, Gamboa Mutuberria, José Manuel
Tipo de recurso: artículo
Fecha de publicación:1984
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/64608
Acceso en línea:https://hdl.handle.net/20.500.14352/64608
Access Level:acceso abierto
Palabra clave:512.7
Real algebraic varieties
Regularly closed semialgebraic set
Clopen subset
Space of orders of rational functions
Geometria algebraica
1201.01 Geometría Algebraica
id ES_185a6ec5ae09074fbf3fed5da6280f00
oai_identifier_str oai:docta.ucm.es:20.500.14352/64608
network_acronym_str ES
network_name_str España
repository_id_str
spelling A note on projections of real algebraic varieties.Andradas Heranz, CarlosGamboa Mutuberria, José Manuel512.7Real algebraic varietiesRegularly closed semialgebraic setClopen subsetSpace of orders of rational functionsGeometria algebraica1201.01 Geometría AlgebraicaWe prove that any regularly closed semialgebraic set of R", where R is any real closed field and regularly closed means that it is the closure of its interior, is the projection under a finite map of an irreducible algebraic variety in some Rn + k. We apply this result to show that any clopen subset of the space of orders of the field of rational functions K= R(X1,...iXn) is the image of the space of orders of a finite extension of K.Pacific Journal of MathematicsUniversidad Complutense de Madrid19841984-01-0119841984-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/64608reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/646082026-06-02T12:44:21Z
dc.title.none.fl_str_mv A note on projections of real algebraic varieties.
title A note on projections of real algebraic varieties.
spellingShingle A note on projections of real algebraic varieties.
Andradas Heranz, Carlos
512.7
Real algebraic varieties
Regularly closed semialgebraic set
Clopen subset
Space of orders of rational functions
Geometria algebraica
1201.01 Geometría Algebraica
title_short A note on projections of real algebraic varieties.
title_full A note on projections of real algebraic varieties.
title_fullStr A note on projections of real algebraic varieties.
title_full_unstemmed A note on projections of real algebraic varieties.
title_sort A note on projections of real algebraic varieties.
dc.creator.none.fl_str_mv Andradas Heranz, Carlos
Gamboa Mutuberria, José Manuel
author Andradas Heranz, Carlos
author_facet Andradas Heranz, Carlos
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
Real algebraic varieties
Regularly closed semialgebraic set
Clopen subset
Space of orders of rational functions
Geometria algebraica
1201.01 Geometría Algebraica
topic 512.7
Real algebraic varieties
Regularly closed semialgebraic set
Clopen subset
Space of orders of rational functions
Geometria algebraica
1201.01 Geometría Algebraica
description We prove that any regularly closed semialgebraic set of R", where R is any real closed field and regularly closed means that it is the closure of its interior, is the projection under a finite map of an irreducible algebraic variety in some Rn + k. We apply this result to show that any clopen subset of the space of orders of the field of rational functions K= R(X1,...iXn) is the image of the space of orders of a finite extension of K.
publishDate 1984
dc.date.none.fl_str_mv 1984
1984-01-01
1984
1984-01-01
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/20.500.14352/64608
url https://hdl.handle.net/20.500.14352/64608
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 Pacific Journal of Mathematics
publisher.none.fl_str_mv Pacific Journal of Mathematics
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
_version_ 1869403980199624704
score 15.198674

Similares en LA Referencia