{"id":38886,"date":"2018-03-09T09:38:41","date_gmt":"2018-03-09T09:38:41","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/cohomologia-de-grupos-categoricos-cofibrados\/"},"modified":"2018-03-09T09:38:41","modified_gmt":"2018-03-09T09:38:41","slug":"cohomologia-de-grupos-categoricos-cofibrados","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/cohomologia-de-grupos-categoricos-cofibrados\/","title":{"rendered":"Cohomolog\u00eda de grupos categoricos cofibrados."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Lidia Fernandez Rodriguez <\/strong><\/h2>\n<p>En esta tesis se estudia e interpreta una cierta cohomolog\u00eda no abeliana, de una categor\u00eda peque\u00f1a con coeficientes en un pseudo-diagrama o pseudo-funtor de grupos categ\u00f3ricos. Teniendo en cuenta que los grupos categ\u00f3ricos son modelos algebraicos para los 2-tipos de homotop\u00eda conexos, los pseudo-diagramas de grupos categ\u00f3ricos aparecen de forma natural del estudio de diagramas de cw-complejos, en el caso particular en que \u00e9stos son conexos por arcos y tienen grupos de homotop\u00eda triviales en dimensiones superiores a dos. Se estudian aqu\u00ed torsores sobre una categor\u00eda peque\u00f1a b bajo un b-grupo categ\u00f3rico, y es su estudio y clasificaci\u00f3n lo que nos lleva al estudio de esta cohomolog\u00eda. Esta clasificaci\u00f3n se realiza mediante una generalizaci\u00f3n del cl\u00e1sico an\u00e1lisis de schreier para extensiones de un grupo g por un g-m\u00f3dulo m. El trabajo se desarrolla en un contexto puramente abstracto, pero se discuten expl\u00edcitamente algunos ejemplos, que indican una estrecha relaci\u00f3n con problemas algebraicos y topol\u00f3gicos. Por ejemplo, obtenemos dos nuevas interpretaciones del grupo de brauer de una extensi\u00f3n de galois de anillos conmutativos: una algebraica en t\u00e9rminos de clases de equiValencia de torsores sobre el grupo de galois, y una topol\u00f3gica en t\u00e9rminos de clases de homotop\u00eda de secciones cruzadas para una fibraci\u00f3n sobre un espacio de eilenberg-mclane de tipo k(g,1).<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Cohomolog\u00eda de grupos categoricos cofibrados.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Cohomolog\u00eda de grupos categoricos cofibrados. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Lidia Fernandez Rodriguez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 30\/11\/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>Antonio Mart\u00ednez  Cegarra<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: jaume Aguad\u00e9 bover <\/li>\n<li>blas Torrecillas jover (vocal)<\/li>\n<li>Luis Javier Hernandez paricio (vocal)<\/li>\n<li>Antonio Rodr\u00edguez garz\u00f3n (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Lidia Fernandez Rodriguez En esta tesis se estudia e interpreta una cierta cohomolog\u00eda no abeliana, de una [&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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