{"id":87067,"date":"2018-03-10T00:11:47","date_gmt":"2018-03-10T00:11:47","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/trivialidad-definible-de-familias-de-aplicaciones-definibles-en-estructuras-o-minimales\/"},"modified":"2018-03-10T00:11:47","modified_gmt":"2018-03-10T00:11:47","slug":"trivialidad-definible-de-familias-de-aplicaciones-definibles-en-estructuras-o-minimales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/trivialidad-definible-de-familias-de-aplicaciones-definibles-en-estructuras-o-minimales\/","title":{"rendered":"Trivialidad definible de familias de aplicaciones definibles en estructuras o-minimales."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jes\u00fas Escribano Martinez <\/strong><\/h2>\n<p>El objetivo de la memoria es estudiar la trivialidad de sumersiones (y pares de sumersiones) dentro de la categor\u00eda o-minimal. Este es un problema cl\u00e1sico de la topolog\u00eda diferencial y con numerosas aplicaciones en la teor\u00eda de singularidades.  para este objetivo ampliamos a la categor\u00eda o-minimal diversas construcciones de la geomtr\u00eda semi-algebraica, como el aspectro real. Se construye entonces el espectro definible y se relaciona conlas familias de objetos definibles. a continuaci\u00f3n se estudia un teorema de aproximaci\u00f3n de funciones diferenciables definibles por funciones conuna clase de difernciabilidad m\u00e1s alta.  utilizando este resultado de aproximaci\u00f3n, y los resultados sobre fibras gen\u00e9ricas enpuntos del espectro definible, demostramos la trivialidad de sumersiones definibles propias y de pares de sumersiones propias.  concluimos nuestra memoria aplicando nuestros resultados a la resoluci\u00f3n de un problema de teor\u00eda de singularidades, la trivialidad de funciones definibles fuera del conjunto de bifurcaci\u00f3n.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Trivialidad definible de familias de aplicaciones definibles en estructuras o-minimales.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Trivialidad definible de familias de aplicaciones definibles en estructuras o-minimales. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jes\u00fas Escribano Martinez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 26\/10\/2000<\/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: enrique Outerelo  dominguez <\/li>\n<li>margarita Otero dominguez (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 Jes\u00fas Escribano Martinez El objetivo de la memoria es estudiar la trivialidad de sumersiones (y pares de [&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 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