{"id":12621,"date":"2001-04-09T00:00:00","date_gmt":"2001-04-09T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/hyperspaces-quasi-uniformities-and-quasi-metrics\/"},"modified":"2001-04-09T00:00:00","modified_gmt":"2001-04-09T00:00:00","slug":"hyperspaces-quasi-uniformities-and-quasi-metrics","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/hyperspaces-quasi-uniformities-and-quasi-metrics\/","title":{"rendered":"Hyperspaces, quasi-uniformities and quasi-metrics."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jes\u00fas Rodr\u00edguez L\u00f3pez <\/strong><\/h2>\n<p>Las propiedades topologicas utiles en teoria de ciencias de la computacion son bastante diferentes a las consideradas en matematicas clasica. Asi, los espacios que son interesantes en las aplicaciones a esta ciencia se definen, en general, a partir de objetos en los que se ha construido un orden parcial que representa etapas de algun proceso computacional. De este modo, los espacios casimetricos y casi-uniformes constituyen el contexto mas adecuado para interpretar las interesantes propiedades de este hecho. debido a que varias hipertopolog\u00edas han sido aplicadas con \u00e9xito a varias areas de esta ciencia ha contribuido al aumento del interes en el estudio de hiperespacios desde un punto de vista no simetrico. Sin embargo, diversos problemas permanecian sin solucion.  esta tesis doctoral esta dedicada a realizar un estudio sistematico de las hipertopolog\u00edas desde un punto de vista no simetrico de modo que obtenemos resultados sobre sus relaciones y caracterizamos su coincidencia en diversos conjuntos. Asi estudiamos las topolog\u00edas de vietoris, proximal, casi-uniforme de hausdorff y la de wijsman. El estudo de la topolog\u00eda de fell nos lleva a la introduccion de los espacios topologicos dobles. Tambien obtenemos resultados usando la convergencia de fisher y la convergencia de kuratowsi-painleve.  para de esta tesis tambien esta dedicada a estudiar topolog\u00edas en espacios de funciones. De este modo, mostramos que un espacio casi-seudo-metrico la coincidencia entre la topolog\u00eda superior casi-uniforme de hausdorff y la topolog\u00eda de la convergencia uniforme es equivalente a que toda funcion semicontinua inferiormente sea casi-uniformemente continua. Tambien introducimos un concepto de epiconvergencia adecuado en el contexto no simetrico.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Hyperspaces, quasi-uniformities and quasi-metrics.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Hyperspaces, quasi-uniformities and quasi-metrics. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jes\u00fas Rodr\u00edguez L\u00f3pez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 04\/09\/2001<\/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>Salvador Romaguera Bonilla<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: valentin Gregori gregori <\/li>\n<li>Manuel Sanchis lopez (vocal)<\/li>\n<li>albert Kunzi hans-peter (vocal)<\/li>\n<li>Francisco Garcia areas (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jes\u00fas Rodr\u00edguez L\u00f3pez Las propiedades topologicas utiles en teoria de ciencias de la computacion son bastante diferentes [&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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