{"id":134630,"date":"1997-01-01T00:00:00","date_gmt":"1997-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/separadores-de-puntos-y-dimension-transfinita\/"},"modified":"1997-01-01T00:00:00","modified_gmt":"1997-01-01T00:00:00","slug":"separadores-de-puntos-y-dimension-transfinita","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/separadores-de-puntos-y-dimension-transfinita\/","title":{"rendered":"Separadores de puntos y dimension transfinita."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Javier Rodrigo Hitos <\/strong><\/h2>\n<p>La memoria consta de tres capitulos. En el primero se introduce una extension transfinita de una dimension estudiada por tarres. Se demuestra la invariancia topologica, el teorema del subespacio y teoremas de comparacion respecto de otras dimensiones transfinitas.  tambien se estudian condiciones que garanticen la existencia de esta dimension. En el contexto de los espacios metricos compactos las condiciones son analogas a las de existencia de las dimensiones inductivas transfinitas. Para espacios mas generales se presentan diferencias notables. El segundo capitulo esta dedicado a los teoremas de la suma y el producto. Algunos de estos resultados presentan analogia con propiedades clasicas de las dimensiones inductivas transfinitas establecidas por luxemburg. Otros por el contrario son caracteristicos de esta dimension. El tercer capitulo se dedica a los teoremas de compactificacion. La dimension de la compactificacion de alexandroff de un espacio esta acotada por la dimension del espacio mas una unidad. Se estudian una serie de condiciones que garantizan la igualdad entre la dimension del espacio y la de su compactificacion de alexandroff. Tambien se estudia el comportamiento respecto de otras compactificaciones.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Separadores de puntos y dimension transfinita.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Separadores de puntos y dimension transfinita. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Javier Rodrigo Hitos <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1997<\/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>Juan Tarres Freixenet<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Rodriguez Sanjurjo Jos\u00e9 Manuel <\/li>\n<li>Eduardo Cuchillo Iba\u00f1ez (vocal)<\/li>\n<li>Salvador Romaguera Bonilla (vocal)<\/li>\n<li>Jos\u00e9 Javier Etayo Gordejuela (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Javier Rodrigo Hitos La memoria consta de tres capitulos. En el primero se introduce una extension transfinita [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[986,126,585],"tags":[70880,197635,16730,23285,17113,16824],"class_list":["post-134630","post","type-post","status-publish","format-standard","hentry","category-complutense-de-madrid","category-matematicas","category-topologia","tag-eduardo-cuchillo-ibanez","tag-javier-rodrigo-hitos","tag-jose-javier-etayo-gordejuela","tag-juan-tarres-freixenet","tag-rodriguez-sanjurjo-jose-manuel","tag-salvador-romaguera-bonilla"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/134630","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=134630"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/134630\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=134630"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=134630"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=134630"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}