{"id":28715,"date":"2018-03-09T09:21:32","date_gmt":"2018-03-09T09:21:32","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metricas-parciales-semigrupos-y-espacios-vectoriales-topologicos\/"},"modified":"2018-03-09T09:21:32","modified_gmt":"2018-03-09T09:21:32","slug":"metricas-parciales-semigrupos-y-espacios-vectoriales-topologicos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/politecnica-de-valencia\/metricas-parciales-semigrupos-y-espacios-vectoriales-topologicos\/","title":{"rendered":"M\u00e9tricas parciales, semigrupos y espacios vectoriales topol\u00f3gicos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Sandra Oltra Crespo <\/strong><\/h2>\n<p>En la construcci\u00f3n de modelos en ciencia de la computaci\u00f3n (en concreto en la teor\u00eda de la complejidad de algoritmos y programas) desde hace algunos a\u00f1os se ha introducido cierto tipo de estructuras topol\u00f3gicas no sim\u00e9tricas asociadas a casi-m\u00e9tricas. En esta tesis se estudian, en el contexto de la topolog\u00eda no sim\u00e9trica, diversas propiedades de las m\u00e9tricas parciales y las topolog\u00edas inducidas por ellas, as\u00ed como de su extensi\u00f3n natural, las p-m\u00e9tricas. En particular estudiamos la convergencia de sucesiones, la completaci\u00f3n de estos espacios, la precompacidad y la acotaci\u00f3n total. tambi\u00e9n se estudian, utilizando estas t\u00e9cnicas, semirret\u00edculos y semivaluaciones. se dedica una atenci\u00f3n especial al espacio de complejidad, al espacio de complejidad dual, y a los dominios de las palabras y del intervalo, que son casos interesantes de espacios que se utilizan como modelos en ciencia de la computaci\u00f3n.  los dos \u00faltimos cap\u00edtulos del trabajo est\u00e1n dedicados a la aplicaci\u00f3n de estos elementos para el estudio de propiedades geom\u00e9tricas de los espacios de banach, definiendo topolog\u00edas en espacios vectoriales que no dotan necesariamente a \u00e9stos de estructura de espacio vectorial topol\u00f3gico. Tambi\u00e9n se desarrolla, en el contexto de los espacios de banach cl\u00e1sicos, una forma de representaci\u00f3n de p-m\u00e9tricas mediante integrales, que permite analizar las propiedades de orden en estos espacios.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>M\u00e9tricas parciales, semigrupos y espacios vectoriales topol\u00f3gicos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 M\u00e9tricas parciales, semigrupos y espacios vectoriales topol\u00f3gicos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Sandra Oltra Crespo <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 17\/02\/2004<\/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>Francisco Garc\u00eda arenas (vocal)<\/li>\n<li>Manuel Sanchis lopez (vocal)<\/li>\n<li>Javier G\u00f3mez p\u00e9rez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Sandra Oltra Crespo En la construcci\u00f3n de modelos en ciencia de la computaci\u00f3n (en concreto en la [&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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