{"id":38451,"date":"2018-03-09T09:38:01","date_gmt":"2018-03-09T09:38:01","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/homotopia-conica\/"},"modified":"2018-03-09T09:38:01","modified_gmt":"2018-03-09T09:38:01","slug":"homotopia-conica","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/homotopia-conica\/","title":{"rendered":"Homotopia conica."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Diaz Diaz Francisco Javier <\/strong><\/h2>\n<p>Desde los inicios de la topolog\u00eda algebraica hasta nuestros d\u00edas se han ido consiguiendo axiom\u00e1ticas de las distintas teor\u00edas encuadradas dentro de esta denominaci\u00f3n. En este sentido, aunque se han dado diversas de la homotop\u00eda, ninguna de ellas llega a interpretar plenamente dicho concepto, pues siempre existe alguna teor\u00eda que se puede considerar de homotop\u00eda no encuadrada en las axiom\u00e1ticas.  el autor, interrelacionando axiom\u00e1ticas como las construcciones standard de p. J. Huber y las categor\u00edas cofibradas de h. J. Baues, logra extraer las condiciones precisas que permiten al cono generar la homotop\u00eda cl\u00e1sica de los espacios topol\u00f3gicos. Expres\u00e1ndolas axiom\u00e1ticamente desde el punto de vista categ\u00f3rico y haciendo uso de lo que denomina homotop\u00eda generalizada, crea grupos y sucesiones exactas de homotop\u00eda que contienen como caso particular, cuando la categor\u00eda es punteada, a los obtenidos a trav\u00e9s del concepto de suspensi\u00f3n, herramienta b\u00e1sica para la mayor\u00eda de las axiom\u00e1ticas de homotop\u00eda.  relacionando su teor\u00eda con pares de funtores adjuntos, haciendo un estudio sobre categor\u00edas aditivas y axiomatizando el producto num\u00e9rico real sobre el intervalo unidad desarrolla diversos m\u00e9todos para la obtenci\u00f3n de conos que se concretan en ejemplos de homotop\u00edas conocidas, como la cl\u00e1sica de los espacios topol\u00f3gicos y espacios topol\u00f3gicos punteados, la proyectiva e inyectiva sobre r-m\u00f3dulos, la usual en los complejos de cadena, y otras menos conocidas como la homotop\u00eda propia de los espacios exteriores o diversas tensoriales sobre categor\u00edas abelianas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Homotopia conica.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Homotopia conica. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Diaz Diaz Francisco Javier <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 La laguna<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 14\/07\/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>Sergio Rodriguez Machin<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Viviente mateu Jos\u00e9 Luis <\/li>\n<li>Antonio Quintero toscano (vocal)<\/li>\n<li> Navarro segura Jos\u00e9 Luis (vocal)<\/li>\n<li>Jos\u00e9 ignacio Extremiana aldana (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Diaz Diaz Francisco Javier Desde los inicios de la topolog\u00eda algebraica hasta nuestros d\u00edas se han ido [&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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