{"id":38621,"date":"2018-03-09T09:38:16","date_gmt":"2018-03-09T09:38:16","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/teoria-de-categoria-de-lusternik-schnirelman-adaptada-al-marco-de-las-variedades-foliadas\/"},"modified":"2018-03-09T09:38:16","modified_gmt":"2018-03-09T09:38:16","slug":"teoria-de-categoria-de-lusternik-schnirelman-adaptada-al-marco-de-las-variedades-foliadas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/teoria-de-categoria-de-lusternik-schnirelman-adaptada-al-marco-de-las-variedades-foliadas\/","title":{"rendered":"Teoria de categoria de lusternik-schnirelman adaptada al marco de las variedades foliadas."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Hellen Elizabeth Colman Vale <\/strong><\/h2>\n<p>El objetivo de este trabajo es desarrollar una teor\u00eda de categor\u00eda de lusternik-schnirelman adaptada al marco de las variedades foliadas.  se introducen los conceptos de categor\u00eda tangente y categor\u00eda transversa de una foliaci\u00f3n, que generalizan la noci\u00f3n cl\u00e1sica de categor\u00eda ls de una variedad. Se prueba que ambas categor\u00edas son invariantes de homotop\u00eda para homotop\u00edas compatibles con la foliaci\u00f3n (homotop\u00eda integrable y foliada), y se comparan con las categor\u00edas ls de las hojas y del espacio de hojas, as\u00ed como con la categor\u00eda equivariante y la categor\u00eda fibrada.  se da tambi\u00e9n una acotaci\u00f3n en t\u00e9rminos de invariantes cohomol\u00f3gicos asociados a la foliaci\u00f3n, y se calculan en varios casos particulares de inter\u00e9s.  finalmente, se da una generalizaci\u00f3n del resultado original de lusternik y schnirelman acerca del n\u00famero de puntos cr\u00edticos de una funci\u00f3n diferenciable en una variedad, prob\u00e1ndose que bajo ciertas hip\u00f3tesis (que se verifican por ejemplo para una foliaci\u00f3n compacta hausdorff), la categor\u00eda transversa es una cota inferior del n\u00famero de hojas cr\u00edticas de una funci\u00f3n b\u00e1sica. El mismo resultado se obtiene para las foliaciones de codimensi\u00f3n uno.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Teoria de categoria de lusternik-schnirelman adaptada al marco de las variedades foliadas.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Teoria de categoria de lusternik-schnirelman adaptada al marco de las variedades foliadas. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Hellen Elizabeth Colman Vale <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Santiago de compostela<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 25\/09\/1998<\/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>Enrique Mac\u00edas Virg\u00f3s<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Xose M. Masa Vazquez <\/li>\n<li>Marcel Nicolau Reig (vocal)<\/li>\n<li>Daniel Tanr\u00e9 (vocal)<\/li>\n<li>Paul Schweitzer (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Hellen Elizabeth Colman Vale El objetivo de este trabajo es desarrollar una teor\u00eda de categor\u00eda de lusternik-schnirelman [&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":[583,23405,126,977,585],"tags":[91763,3230,100144,84552,100146,100145],"class_list":["post-38621","post","type-post","status-publish","format-standard","hentry","category-geometria","category-homotopia","category-matematicas","category-santiago-de-compostela","category-topologia","tag-daniel-tanre","tag-enrique-macias-virgos","tag-hellen-elizabeth-colman-vale","tag-marcel-nicolau-reig","tag-paul-schweitzer","tag-xose-m-masa-vazquez"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/38621","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=38621"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/38621\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=38621"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=38621"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=38621"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}