{"id":55679,"date":"2018-03-09T22:43:23","date_gmt":"2018-03-09T22:43:23","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/integration-on-uniform-type-conoids\/"},"modified":"2018-03-09T22:43:23","modified_gmt":"2018-03-09T22:43:23","slug":"integration-on-uniform-type-conoids","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/medida-integracion-y-area\/integration-on-uniform-type-conoids\/","title":{"rendered":"Integration on uniform type conoids"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Amaral Abreu Teresa Paula <\/strong><\/h2>\n<p>El principal objetivo de esta tesis es la extensi\u00f3n del esquema de integraci\u00f3n de lebesgue a funciones definidas en un espacio de premedida y valoradas en un conoide quasi-uniforme y contiene, adem\u00e1s, interesantes aportaciones a la teor\u00eda general de los espacios quasi-uniformes, la teor\u00eda de las estructuras algebraicas quasi-uniformes y la teor\u00eda de las medidas valoradas en dichas estructuras, que es necesario desarrollar, previamente, para alcanzar el mencionado objetivo.     en la tesis se elige un camino muy natural para la exposici\u00f3n de la teor\u00eda de los espacios quasi-uniformes. se plantea en la situaci\u00f3n m\u00e1s general de las local quasi-uniformidades y no se supone conocida la teor\u00eda de los espacios uniformes, cuyos resultados se recuperan como casos particulares cuando existe simetr\u00eda. Se introducen los nuevos espacios bilocal quasi-uniformes y se clarifica definitivamente el problema del \u00ednfimo de las estructuras de tipo uniforme y de las topolog\u00eda inducidas por ellas, delicada cuesti\u00f3n que no aparece usualmente en la literatura. la tesis contiene una exposici\u00f3n completa de la teor\u00eda de las estructuras algebraicas quasi-uniformes que incluye los fundamentos de los conoides (monoides equipados con una multiplicaci\u00f3n por reales no negativos) quasi-uniformes que constituyen el rango natural de las funciones medibles, las medidas y las integrales. Una contribuci\u00f3n destacable en esta parte es la soluci\u00f3n negativa al problema de la local quasi-uniformaci\u00f3n de los semigrupos topol\u00f3gicos. en la tesis de a.Castej\u00f3n (1995), tambi\u00e9n dirigida por e. Corbacho, se extendi\u00f3 la teor\u00eda de integraci\u00f3n lebesgue a funciones valoradas en conoides dotados de una m\u00e9trica compatible positivamente homog\u00e9nea. En esta tesis de t.Abreu se ampl\u00eda esta posibilidad al caso de los conoides quasi-uniformes. Se prueba que con la presencia de la propiedad de unicidad integral se puede desarrollar el esquema de lebesgue incluso sin asumir la simetr\u00eda. El hecho<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Integration on uniform type conoids<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Integration on uniform type conoids <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Amaral Abreu Teresa Paula <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Vigo<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 24\/11\/2006<\/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>Eusebio Corbacho Rosas<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: vaja Tarieladze <\/li>\n<li>Manuel Sanchis lopez (vocal)<\/li>\n<li>tadeusz Dobrowolski (vocal)<\/li>\n<li>Mar\u00eda Jes\u00fas Chasco  ugarte (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Amaral Abreu Teresa Paula El principal objetivo de esta tesis es la extensi\u00f3n del esquema de integraci\u00f3n [&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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