{"id":8139,"date":"1995-01-01T00:00:00","date_gmt":"1995-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1995\/01\/01\/homologias-y-cohomologias-propias-y-de-la-forma\/"},"modified":"1995-01-01T00:00:00","modified_gmt":"1995-01-01T00:00:00","slug":"homologias-y-cohomologias-propias-y-de-la-forma","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/homologias-y-cohomologias-propias-y-de-la-forma\/","title":{"rendered":"Homolog\u00edas y cohomolog\u00edas propias y de la forma."},"content":{"rendered":"

Tesis doctoral de Josefina Cabeza Laguna <\/strong><\/h2>\n

El proposito de la memoria es definir homolog\u00edas que se adecuen a la teoria de homotopia propia y a la teoria de la forma.Con este objetivo en los dos primeros capitulos se estudian estructuras de modelos, de tipo quillen para una categoria de cadenas de torres y, de tipo edwards – hastings para una categoria de torres de cadenas. De la comparacion de ambas estructuras se obtiene un interesante resultado para el computo del numero de espacios de moore propios. en el siguiente capitulo se abordan extensiones del funtor de brown para las categorias mencionadas. De dichas extensiones es de destacar su excelente comportamiento respecto de las homolog\u00edas habituales, lo que permite dar una definicion algebraica de homolog\u00edas de tipo brown – grossman. Asimismo utilizando limites inversos se definen homolog\u00edas de tipo steenrod y de tipo cech. El estudio de las relaciones entre los funtores y lim se traduce en relaciones entre las homolog\u00edas mencionadas. en el ultimo capitulo de la memoria se definen las homolog\u00edas de tipo propio para espacios o-compactos haussdorff y homolog\u00edas para la teoria de la forma para espacios metrico compactos, comprobando que satisfacen los adecuados axiomas. Asimismo se encuentran relaciones entre todas ellas y con la homolog\u00eda ordinaria. Se obtienen tambien teoremas de tipo hurewicz que ponen de manifiesto la relacion deseada entre las definiciones de homolog\u00eda dadas y las correspondientes homotopias. se concluye la memoria mostrando como las tecnicas expuestas pueden ser tambien empleadas para cohomolog\u00edas, para ilustrar este hecho se ha elegido la cohomolog\u00eda de alexander – spanier – massey<\/p>\n

 <\/p>\n

Datos acad\u00e9micos de la tesis doctoral \u00abHomolog\u00edas y cohomolog\u00edas propias y de la forma.<\/strong>\u00ab<\/h3>\n
    \n
  • T\u00edtulo de la tesis:<\/strong>\u00a0 Homolog\u00edas y cohomolog\u00edas propias y de la forma. <\/li>\n
  • Autor:<\/strong>\u00a0 Josefina Cabeza Laguna <\/li>\n
  • Universidad:<\/strong>\u00a0 Zaragoza<\/li>\n
  • Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1995<\/li>\n<\/ul>\n

     <\/p>\n

    Direcci\u00f3n y tribunal<\/h3>\n
      \n
    • Director de la tesis<\/strong>\n
        \n
      • Luis Javier Hernandez Paricio<\/li>\n<\/ul>\n<\/li>\n
      • Tribunal<\/strong>\n
          \n
        • Presidente del tribunal: Viviente Mateu Jos\u00e9 Luis <\/li>\n
        • Navarro Segura Jos\u00e9 Luis (vocal)<\/li>\n
        • Antonio Rodr\u00edguez Garz\u00f3n (vocal)<\/li>\n
        • Rivas Rodriguez Mar\u00eda Teresa (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n

           <\/p>\n","protected":false},"excerpt":{"rendered":"

          Tesis doctoral de Josefina Cabeza Laguna El proposito de la memoria es definir homolog\u00edas que se adecuen a la teoria […]<\/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":[28669,23405,126,585,13610],"tags":[28674,28670,28671,28673,28675,28672],"class_list":["post-8139","post","type-post","status-publish","format-standard","hentry","category-homologia","category-homotopia","category-matematicas","category-topologia","category-zaragoza","tag-antonio-rodriguez-garzon","tag-josefina-cabeza-laguna","tag-luis-javier-hernandez-paricio","tag-navarro-segura-jose-luis","tag-rivas-rodriguez-maria-teresa","tag-viviente-mateu-jose-luis"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/8139","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=8139"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/8139\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=8139"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=8139"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=8139"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}