{"id":6638,"date":"1995-01-01T00:00:00","date_gmt":"1995-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1995\/01\/01\/la-geometria-de-los-abanicos-en-dimension-2\/"},"modified":"1995-01-01T00:00:00","modified_gmt":"1995-01-01T00:00:00","slug":"la-geometria-de-los-abanicos-en-dimension-2","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/la-geometria-de-los-abanicos-en-dimension-2\/","title":{"rendered":"La geometria de los abanicos en dimension 2"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Pilar V\u00e9lez Mel\u00f3n <\/strong><\/h2>\n<p>Esta tesis esta dedicada al estudio de los conjuntos semialgebraicos basicos en superficies reales. Las tecnicas hasta ahora utilizadas en el estudio de estas cuestiones, principalmente la teoria de abanicos de brocker, permiten obtener resultados muy completos pero no constructivos, por lo que no generan soluciones algoritmicas. Es por ello muy importante entender toda la geometria contenida en la teoria de abanicos.  asi, en este trabajo abordamos el problema con tecnicas completamente geometricas: separacion y aproximacion. Las cuales nos proporcionan un criterio geometrico de basicidad en superficies, el cual genera ademas una solucion algoritmica para el problema.  por otra parte, damos la descripcion explicita del conjunto de abanicos de una superficie real.  a partir del criterio, damos, tambien, nuevas demostraciones, para superficies, de resultados ya conocidos por la teoria de abanicos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>La geometria de los abanicos en dimension 2<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 La geometria de los abanicos en dimension 2 <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Pilar V\u00e9lez Mel\u00f3n <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1995<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li> Ruiz Sancho Jes\u00fas M.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Carlos Andradas Heranz <\/li>\n<li>Francesca Acquistapace (vocal)<\/li>\n<li>Tomas Recio Mu\u00f1iz (vocal)<\/li>\n<li>Alexander Prestel (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Pilar V\u00e9lez Mel\u00f3n Esta tesis esta dedicada al estudio de los conjuntos semialgebraicos basicos en superficies reales. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[2809,583,126],"tags":[24608,5303,24607,24605,24606,3530],"class_list":["post-6638","post","type-post","status-publish","format-standard","hentry","category-algebra","category-geometria","category-matematicas","tag-alexander-prestel","tag-carlos-andradas-heranz","tag-francesca-acquistapace","tag-pilar-velez-melon","tag-ruiz-sancho-jesus-m","tag-tomas-recio-muniz"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/6638","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=6638"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/6638\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=6638"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=6638"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=6638"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}