{"id":121556,"date":"2024-03-13T07:08:36","date_gmt":"2024-03-13T07:08:36","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/calculo-diferencial-sintetico-y-su-interpretacion-en-modelos-de-prehaces\/"},"modified":"2024-03-13T07:08:36","modified_gmt":"2024-03-13T07:08:36","slug":"calculo-diferencial-sintetico-y-su-interpretacion-en-modelos-de-prehaces","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/calculo-diferencial-sintetico-y-su-interpretacion-en-modelos-de-prehaces\/","title":{"rendered":"Calculo diferencial sintetico y su interpretacion en modelos de prehaces"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Minguez Herrero M. Carmen <\/strong><\/h2>\n<p>Se enmarca en una reciente teoria matematica conocida como geometria diferencial sintetica que trata de axiomatizar directa e intrinsecamente la geometria diferencial. En la primera parte se desarrolla el calculo diferencial de formas (diferencial y producto exterior producto interior  derivada de lie etc)  se estudia la integracion de formas y se demuestra que el homomorfismo que dicha integracion define entre las cohomolog\u00edas de de rham y singular es multiplicativo  esto es  conmuta con los productos ext y cup. En la 2 parte se consideran dos modelos e y edo de la g.D.S.: Son topos de prehaces sobre la categoria de k-algebras (resp. Edo algebras) de presentacion finita. Se interpretan en dichos modelos las construcciones y resultados obtenidos en la primera parte demostrando que en el modelo edo  que contiene como subcategoria plena a las variedades diferenciables se recuperan los resultados clasicos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Calculo diferencial sintetico y su interpretacion en modelos de prehaces<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Calculo diferencial sintetico y su interpretacion en modelos de prehaces <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Minguez Herrero M. Carmen <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Zaragoza<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1986<\/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>Gonzalo Reyes<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Eladio Dom\u00ednguez Murillo <\/li>\n<li> Rubio De Francia Jos\u00e9 Luis (vocal)<\/li>\n<li>Javier Echarte Reula (vocal)<\/li>\n<li>Javier Otal Cinca (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Minguez Herrero M. Carmen Se enmarca en una reciente teoria matematica conocida como geometria diferencial sintetica que [&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":[2809,583,128,126,2808,13610],"tags":[10833,235488,235489,32526,235487,108465],"class_list":["post-121556","post","type-post","status-publish","format-standard","hentry","category-algebra","category-geometria","category-geometria-diferencial","category-matematicas","category-teoria-de-categorias","category-zaragoza","tag-eladio-dominguez-murillo","tag-gonzalo-reyes","tag-javier-echarte-reula","tag-javier-otal-cinca","tag-minguez-herrero-m-carmen","tag-rubio-de-francia-jose-luis"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/121556","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=121556"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/121556\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=121556"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=121556"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=121556"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}