{"id":38592,"date":"2018-03-09T09:38:13","date_gmt":"2018-03-09T09:38:13","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/homotopia-propia-simplicial\/"},"modified":"2018-03-09T09:38:13","modified_gmt":"2018-03-09T09:38:13","slug":"homotopia-propia-simplicial","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/homotopia-propia-simplicial\/","title":{"rendered":"Homotopia propia simplicial."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Garcia Calcines Jos\u00e9 Manuel <\/strong><\/h2>\n<p>En esta memoria se desarrollan las t\u00e9cnicas simpliciales para las categor\u00edas de homotop\u00eda prop\u00eda, se buscan los modelos axiom\u00e1ticos adecuados para dichas categor\u00edas y se estudian las teor\u00edas de homolog\u00edas derivadas de las construcciones simpliciales correspondientes. El marco de trabajo usado para la categor\u00eda propia ser\u00e1 la categor\u00eda de los espacios exteriores, recientemente introducida por garc\u00eda-pinillos (v\u00e9ase tesis (1998) universidad de la rioja) y garc\u00eda-calcines, garc\u00eda-pinillos, hern\u00e1ndez (v\u00e9ase a closed simplicial model category for proper homotopy and shape theories, bull. Austr. math. Soc. 57, 221-242, 1998). Para ello, se investiga m\u00e1s esta categor\u00eda obteniendo propiedades b\u00e1sicas, interpretaci\u00f3n de la categor\u00eda, desarrollo de las leyes exponenciales, as\u00ed como invariantes, diferentes estructuras axiom\u00e1ticas para homotop\u00eda. se presentan las categor\u00edas de m-conjuntos simpliciales y conjuntos simpliciales exteriores como modelos simpliciales para los espacios exteriores. Se establece para el primer modelo una estructura axiom\u00e1tica de quillen y se crean funtores adjuntos \u00absingular-realizaci\u00f3n geom\u00e9trica exteriores\u00bb induci\u00e9ndose dicha adjunci\u00f3n en las categor\u00edas localizadas respectivas. Se extiende la noci\u00f3n de exterior a otras categor\u00edas, entre ellas el segundo modelo. En \u00e9ste se establece tambi\u00e9n una adjunci\u00f3n del tipo singular-realizaci\u00f3n.  posteriormente, se estudian invariantes de naturaleza homol\u00f3gica en la categor\u00eda de los espacios exteriores. Concretamente, la m-homolog\u00eda con la acci\u00f3n de un monoide m, y la r-homolog\u00eda. Intervienen como herramientas de construcci\u00f3n de las mismas el monoide m y el anillo de las matrices localmente finitas.  finalmente, se estudian otras homolog\u00edas para los espacios exteriores: la homolog\u00eda tubular y la homolog\u00eda tubular cerrada. se obtienen propiedades importantes, como la relaci\u00f3n con la homolog\u00eda singular y que para cw com<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Homotopia propia simplicial.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Homotopia propia simplicial. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Garcia Calcines Jos\u00e9 Manuel <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 La laguna<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 18\/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>Luis Javier Hernandez Paricio<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: domingo Chinea miranda <\/li>\n<li>Mar\u00eda del pilar Carrasco carrasco (vocal)<\/li>\n<li>Antonio Rodr\u00edguez garz\u00f3n (vocal)<\/li>\n<li> Rivas rodriguez m. teresa (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Garcia Calcines Jos\u00e9 Manuel En esta memoria se desarrollan las t\u00e9cnicas simpliciales para las categor\u00edas de homotop\u00eda [&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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