{"id":23660,"date":"2018-03-09T09:14:18","date_gmt":"2018-03-09T09:14:18","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/aco-estructuras-y-perturbacion-homologica\/"},"modified":"2018-03-09T09:14:18","modified_gmt":"2018-03-09T09:14:18","slug":"aco-estructuras-y-perturbacion-homologica","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sevilla\/aco-estructuras-y-perturbacion-homologica\/","title":{"rendered":"Aco-estructuras y perturbaci\u00f3n homol\u00f3gica"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Jim\u00e9nez Rodr\u00edguez M. Jos\u00e9 <\/strong><\/h2>\n<p>La filosof\u00eda general de este trabajo es la de intentar acercar el problema de la computabilidad dentro del \u00e1rea del \u00e1lgebra homol\u00f3gica hacia la b\u00fasqueda de soluciones algor\u00edtmicas viables, siempre tomando como principal herramienta la teor\u00eda de perturbaci\u00f3n homol\u00f3gica.  para ello, en una primera etapa, se desarrolla un nueva manera de representaci\u00f3n de a -(co)\u00e1lgebras, a partir de contracciones: de esta forma, la estructura infinita queda determinada mediante una terna de morf\u00edsmos entre una (co)\u00e1lgebra y el elemento en cuesti\u00f3n. Se trata de una extensi\u00f3n del trabajo que realizara munkholm, de modo que se determina una contracci\u00f3n entre omegab(m) y el propio m. Paralelamente, se inicia una labor de traducci\u00f3n de los conceptos cl\u00e1sicos de morfismos de a -(co)\u00e1lgebras, productos tensoriales de a -(co)\u00e1lgebras y estructuras de a -\u00e1lgebras de hopf, seg\u00fan el nuevo enfoque.  en una segunda parte, claramente diferenciada, se aborda m\u00e1s de cerca la computabilidad de estas estructuras, con especial atenci\u00f3n al caso del modelo 1-homol\u00f3gico de una dga-\u00e1lgebra conmutativa.  primero, se establece un marco general para la teor\u00eda de inversiones (cuyos procedentes se encuentran en trabajos de real c.H.A.T.A.), A la vez que se realiza un refinamiento de la misma que permite mejorar el c\u00f3mputo de la estructura diferencial del modelo 1-homol\u00f3gico de una dga-\u00e1lgebra conmutativa. a modo de aplicaci\u00f3n de esta teor\u00eda, se establece que la resoluci\u00f3n athba asociada al modelo 1-homol\u00f3gico de a escinde de la resoluci\u00f3n b(a) por medio de una contracci\u00f3n de \u00e1lgebras casi-completa, de modo que para determinar c\u00f3mo act\u00faa la diferencial-derivaci\u00f3n sobre athba s\u00f3lo es necesario conocer los morfismos *i, de la a -co\u00e1lgebra hba sobre los generadores del \u00e1lgebra hba.  posteriormente, haciendo uso de la teor\u00eda de inversiones desarrolladas, se estudia los aspectos computacionales de la estructura de a -co\u00e1lgebra ( *****), que se<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Aco-estructuras y perturbaci\u00f3n homol\u00f3gica<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Aco-estructuras y perturbaci\u00f3n homol\u00f3gica <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Jim\u00e9nez Rodr\u00edguez M. Jos\u00e9 <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 18\/06\/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>Pedro Real Jurado<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: ronald Umble <\/li>\n<li>joseph Lada thomas (vocal)<\/li>\n<li>tornike Kadeishvili (vocal)<\/li>\n<li> Ch\u00e1vez de diego Mar\u00eda Jos\u00e9 (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jim\u00e9nez Rodr\u00edguez M. Jos\u00e9 La filosof\u00eda general de este trabajo es la de intentar acercar el problema [&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":[61682,70016,70018,41936,70017,70019],"class_list":["post-23660","post","type-post","status-publish","format-standard","hentry","category-sevilla","tag-chavez-de-diego-maria-jose","tag-jimenez-rodriguez-m-jose","tag-joseph-lada-thomas","tag-pedro-real-jurado","tag-ronald-umble","tag-tornike-kadeishvili"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/23660","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=23660"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/23660\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=23660"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=23660"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=23660"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}