{"id":23174,"date":"2018-03-09T09:13:38","date_gmt":"2018-03-09T09:13:38","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/funciones-de-morse-discretas-sobre-complejos-infinitos\/"},"modified":"2018-03-09T09:13:38","modified_gmt":"2018-03-09T09:13:38","slug":"funciones-de-morse-discretas-sobre-complejos-infinitos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sevilla\/funciones-de-morse-discretas-sobre-complejos-infinitos\/","title":{"rendered":"Funciones de morse discretas sobre complejos infinitos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jos\u00e9 Antonio Vilches Alarc\u00f3n <\/strong><\/h2>\n<p>El objetivo de este trabajo es la generalizaci\u00f3n para complejos infinitos de la teor\u00eda de morse discreta establecida por r. Forman para el caso finito.  en este sentido se obtiene una versi\u00f3n generalizada de las desigualdades de morse, se prueban resultados sobre colapsos y equiValencia de homotop\u00eda entre subcompuestos de nivel y se caracterizan los campos gradientes. Adem\u00e1s, se inicia el estudio de aspectos no contemplados en el caso finito como, el estudio de la estructura de los caminos gradietnes y la integraci\u00f3n de campos gradientes y se introducen las nociones de elemento cr\u00edtico cancelable y funci\u00f3n de morse discreta minimal.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Funciones de morse discretas sobre complejos infinitos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Funciones de morse discretas sobre complejos infinitos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jos\u00e9 Antonio Vilches Alarc\u00f3n <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 29\/05\/2003<\/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>Rafael Ayala G\u00f3mez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Echarte reula Francisco javier <\/li>\n<li>Manuel Barros d\u00edaz (vocal)<\/li>\n<li>Jos\u00e9 Luis Vicente c\u00f3rdoba (vocal)<\/li>\n<li> Hervella torr\u00f3n Luis Mar\u00eda (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jos\u00e9 Antonio Vilches Alarc\u00f3n El objetivo de este trabajo es la generalizaci\u00f3n para complejos infinitos de 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 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":[10715],"tags":[26593,27117,68858,3752,48304,39861],"class_list":["post-23174","post","type-post","status-publish","format-standard","hentry","category-sevilla","tag-echarte-reula-francisco-javier","tag-hervella-torron-luis-maria","tag-jose-antonio-vilches-alarcon","tag-jose-luis-vicente-cordoba","tag-manuel-barros-diaz","tag-rafael-ayala-gomez"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/23174","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=23174"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/23174\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=23174"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=23174"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=23174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}