{"id":20419,"date":"2002-09-12T00:00:00","date_gmt":"2002-09-12T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/homomorfismos-de-grupo-e-isomorfismos-vectoriales-entre-espacios-de-funciones-continuas\/"},"modified":"2002-09-12T00:00:00","modified_gmt":"2002-09-12T00:00:00","slug":"homomorfismos-de-grupo-e-isomorfismos-vectoriales-entre-espacios-de-funciones-continuas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/jaume-i-de-castellon\/homomorfismos-de-grupo-e-isomorfismos-vectoriales-entre-espacios-de-funciones-continuas\/","title":{"rendered":"Homomorfismos de grupo e isomorfismos vectoriales entre espacios de funciones continuas"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Gonz\u00e1lez Mart\u00ednez Francisco Gregorio <\/strong><\/h2>\n<p>La memoria homomorfismos de grupos e isomorfismos vectoriales entre espacios de funciones continuas se enmarcan en el problema de representar los homomorfismos de grupos (respectivamente, aplicaciones lineales) entre espacios de funciones con valores en un grupo (respectivamente, en un espacio vectorial) que dejan invariante un conjunto prefijado, una funci\u00f3n o una relaci\u00f3n definida en el espacio de funciones. En el cap\u00edtulo 2 se obtiene una representaci\u00f3n de los homomorfismos de grupos entre c(x,^) y c(y,^) que conservan el rango y de los homomorfismos que conservan el di\u00e1metro cuando el espacio x es compacto. En el cap\u00edtulo 3 se demuestra que las aplicaciones lineales biyectivas entre los espacios de funciones c(x,r) y c(y,r) que conservan el di\u00e1metro son de la forma ***** cuando los espacios x e y son compactos, y un homeomorfismo. en el cap\u00edtulo 4 demostramos que si x es un subespacio realcompacto y primer numerable de un espacio linealmente ordenado l e y es un espacio topol\u00f3gico realcompacto, toda biyecci\u00f3n lineal separada t: c(x) &#8211; c(y) es biseparadora y puede expresarse como una composici\u00f3n con peso. El \u00faltimo cap\u00edtulo est\u00e1 dedicado a dos problemas en relaci\u00f3n con el concepto de g-espacio: el problema de la compactaci\u00f3n y el problema de bajo que condiciones la g-compactaci\u00f3n coincide con la compactaci\u00f3n de stone-cech.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Homomorfismos de grupo e isomorfismos vectoriales entre espacios de funciones continuas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Homomorfismos de grupo e isomorfismos vectoriales entre espacios de funciones continuas <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Gonz\u00e1lez Mart\u00ednez Francisco Gregorio <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Jaume i de castell\u00f3n<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 09\/12\/2002<\/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>Manuel Sanchis Lopez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jos\u00e9 Luis Blasco olcina <\/li>\n<li>salvador Romaguera bonilla (vocal)<\/li>\n<li>salvador Hern\u00e1ndez mu\u00f1oz (vocal)<\/li>\n<li>valent\u00edn Gregori gregori (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gonz\u00e1lez Mart\u00ednez Francisco Gregorio La memoria homomorfismos de grupos e isomorfismos vectoriales entre espacios de funciones continuas [&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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