{"id":242,"date":"2024-08-26T15:04:02","date_gmt":"2024-08-26T21:04:02","guid":{"rendered":"https:\/\/matematicas.reduaz.mx\/mae_mathe\/?page_id=242"},"modified":"2026-03-14T22:59:30","modified_gmt":"2026-03-15T04:59:30","slug":"material-de-los-cursos-que-imparto","status":"publish","type":"page","link":"https:\/\/matematicas.reduaz.mx\/mae_mathe\/?page_id=242","title":{"rendered":""},"content":{"rendered":"\n<div class=\"wp-block-cover wp-duotone-midnight\" style=\"min-height:227px;aspect-ratio:unset;\"><img loading=\"lazy\" decoding=\"async\" width=\"557\" height=\"469\" class=\"wp-block-cover__image-background wp-image-306\" alt=\"\" src=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/07\/Captura-de-pantalla-2025-01-19-01-18-38-1.png\" data-object-fit=\"cover\" srcset=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/07\/Captura-de-pantalla-2025-01-19-01-18-38-1.png 557w, https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/07\/Captura-de-pantalla-2025-01-19-01-18-38-1-300x253.png 300w\" sizes=\"auto, (max-width: 557px) 100vw, 557px\" \/><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\"><\/span><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\">Topolog\u00eda<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Para un primer curso de licenciatura he usado (buena parte d)el libro electr\u00f3nico <em><a href=\"https:\/\/topologia-general.github.io\/\">Invitaci\u00f3n a la Topolog\u00eda General<\/a><\/em>, escrito en conjunto con Juan Carlos Ponce. En un primer curso de maestr\u00eda uso el libro <a href=\"https:\/\/link.springer.com\/book\/10.1007\/978-3-319-16958-3\" data-type=\"link\" data-id=\"https:\/\/link.springer.com\/book\/10.1007\/978-3-319-16958-3\">Topology<\/a> de M. Manetti.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Algunos archivos relacionados:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><\/li>\n\n\n\n<li><a href=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/08\/Topologia2025-II-presentacion.pdf\" data-type=\"link\" data-id=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2024\/09\/Topologia2024-II-presentacion.pdf\">Presentaci\u00f3n<\/a> del curso de topolog\u00eda para licenciatura<\/li>\n\n\n\n<li>Charla sobre aplicaciones de la topolog\u00eda<\/li>\n\n\n\n<li><a href=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2024\/09\/topologias.pdf\" data-type=\"link\" data-id=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2024\/09\/topologias.pdf\">Comentarios<\/a> sobre algunas topolog\u00edas en la recta real<\/li>\n\n\n\n<li><\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-cover\" style=\"min-height:193px;aspect-ratio:unset;\"><img loading=\"lazy\" decoding=\"async\" width=\"567\" height=\"522\" class=\"wp-block-cover__image-background wp-image-307\" alt=\"\" src=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/07\/Captura-de-pantalla-de-2025-03-16-00-27-39.png\" data-object-fit=\"cover\" srcset=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/07\/Captura-de-pantalla-de-2025-03-16-00-27-39.png 567w, https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/07\/Captura-de-pantalla-de-2025-03-16-00-27-39-300x276.png 300w\" sizes=\"auto, (max-width: 567px) 100vw, 567px\" \/><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\"><\/span><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\">                                                                 Topolog\u00eda algebraica<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Para un primer curso de licenciatura uso el libro de J. McCleary, <em><a href=\"https:\/\/bookstore.ams.org\/view?ProductCode=STML\/31\">A First Course in Topology: Continuity and Dimension<\/a><\/em>. Para un primer curso de maestr\u00eda me gusta usar el libro de Y. Felix y D. Tanr\u00e9 <em><a href=\"https:\/\/www.dunod.com\/sciences-techniques\/topologie-algebrique-cours-et-exercices-corriges-0\">Topologie Algebrique<\/a><\/em>, aderezado con el libro cl\u00e1sico de A. Hatcher <em><a href=\"https:\/\/pi.math.cornell.edu\/~hatcher\/\">Algebraic Topology<\/a><\/em>. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Algunos archivos relacionados:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><\/li>\n\n\n\n<li>Notas de un mini-curso sobre la <a href=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2024\/09\/TopVerano22.pdf\" data-type=\"link\" data-id=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2024\/09\/TopVerano22.pdf\">clasificaci\u00f3n de superficies<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/04\/btop.pdf\" data-type=\"link\" data-id=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/04\/btop.pdf\">Algunos espacios<\/a> topol\u00f3gicos de inter\u00e9s<\/li>\n\n\n\n<li>Sobre un uso de la homolog\u00eda dentro del <a href=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2024\/09\/doshistorias.pdf\" data-type=\"link\" data-id=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2024\/09\/doshistorias.pdf\">an\u00e1lisis topol\u00f3gico de datos<\/a>\n<ul class=\"wp-block-list\">\n<li>            <a href=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2024\/10\/HomSimp2024-II.pdf\" data-type=\"link\" data-id=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2024\/10\/HomSimp2024-II.pdf\"><img loading=\"lazy\" decoding=\"async\" width=\"250\" height=\"354\" class=\"wp-image-318\" style=\"width: 250px;\" src=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/08\/porta_page-0001.jpg\" alt=\"portada\" srcset=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/08\/porta_page-0001.jpg 1240w, https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/08\/porta_page-0001-212x300.jpg 212w, https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/08\/porta_page-0001-724x1024.jpg 724w, https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/08\/porta_page-0001-768x1087.jpg 768w, https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/08\/porta_page-0001-1085x1536.jpg 1085w\" sizes=\"auto, (max-width: 250px) 100vw, 250px\" \/>        <\/a>  <a href=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2024\/11\/hom.singular_compressed.pdf\" data-type=\"link\" data-id=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2024\/11\/hom.singular_compressed.pdf\"><img loading=\"lazy\" decoding=\"async\" width=\"250\" height=\"354\" class=\"wp-image-319\" style=\"width: 250px;\" src=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/08\/portada_page-0001-scaled.jpg\" alt=\"\" srcset=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/08\/portada_page-0001-scaled.jpg 1809w, https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/08\/portada_page-0001-212x300.jpg 212w, https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/08\/portada_page-0001-724x1024.jpg 724w, https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/08\/portada_page-0001-768x1087.jpg 768w, https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/08\/portada_page-0001-1086x1536.jpg 1086w, https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/08\/portada_page-0001-1447x2048.jpg 1447w\" sizes=\"auto, (max-width: 250px) 100vw, 250px\" \/><\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-cover\" style=\"min-height:180px;aspect-ratio:unset;\"><img loading=\"lazy\" decoding=\"async\" width=\"597\" height=\"239\" class=\"wp-block-cover__image-background wp-image-311\" alt=\"\" src=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/07\/Captura-de-pantalla-2025-07-02-23-40-19.png\" data-object-fit=\"cover\" srcset=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/07\/Captura-de-pantalla-2025-07-02-23-40-19.png 597w, https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2025\/07\/Captura-de-pantalla-2025-07-02-23-40-19-300x120.png 300w\" sizes=\"auto, (max-width: 597px) 100vw, 597px\" \/><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\"><\/span><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\">\u00c1lgebra<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Algunas notas sobre conceptos algebraicos necesarios dentro de la topolog\u00eda algebraica:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><\/li>\n\n\n\n<li>Teor\u00eda de grupos<\/li>\n\n\n\n<li>\u00c1lgebra homol\u00f3gica (<a href=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2024\/09\/IntroHomologia.pdf\" data-type=\"link\" data-id=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/wp-content\/uploads\/2024\/09\/IntroHomologia.pdf\">parte I<\/a>)<\/li>\n\n\n\n<li>Sobre R-m\u00f3dulos<\/li>\n\n\n\n<li>\u00c1lgebra homol\u00f3gica (parte II)<\/li>\n\n\n\n<li><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Para un primer curso de licenciatura he usado (buena parte d)el libro electr\u00f3nico Invitaci\u00f3n a la Topolog\u00eda General, escrito en conjunto con Juan Carlos Ponce. En un primer curso de maestr\u00eda uso el libro Topology de M. Manetti. Algunos archivos &hellip; <a href=\"https:\/\/matematicas.reduaz.mx\/mae_mathe\/?page_id=242\">Continued<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"kt_blocks_editor_width":"","footnotes":""},"class_list":["post-242","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/matematicas.reduaz.mx\/mae_mathe\/index.php?rest_route=\/wp\/v2\/pages\/242","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/matematicas.reduaz.mx\/mae_mathe\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/matematicas.reduaz.mx\/mae_mathe\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/matematicas.reduaz.mx\/mae_mathe\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/matematicas.reduaz.mx\/mae_mathe\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=242"}],"version-history":[{"count":28,"href":"https:\/\/matematicas.reduaz.mx\/mae_mathe\/index.php?rest_route=\/wp\/v2\/pages\/242\/revisions"}],"predecessor-version":[{"id":376,"href":"https:\/\/matematicas.reduaz.mx\/mae_mathe\/index.php?rest_route=\/wp\/v2\/pages\/242\/revisions\/376"}],"wp:attachment":[{"href":"https:\/\/matematicas.reduaz.mx\/mae_mathe\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=242"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}