{"id":81,"date":"2016-06-23T21:57:20","date_gmt":"2016-06-23T19:57:20","guid":{"rendered":"http:\/\/berndt-schwerdtfeger.de\/?page_id=81"},"modified":"2024-09-04T19:27:28","modified_gmt":"2024-09-04T17:27:28","slug":"topology","status":"publish","type":"page","link":"https:\/\/berndt-schwerdtfeger.de\/?page_id=81","title":{"rendered":"Topology"},"content":{"rendered":"<h3><a name=\"cop\"><\/a>Compact operators<\/h3>\n<ul>\n<li>version 1.0, 2011-12-01 : <a title=\"cop.pdf\" href=\"wp-content\/uploads\/pdf\/cop.pdf\"><img decoding=\"async\" src=\"wp-content\/uploads\/pdf.png\" alt=\"pdf\" \/><\/a><br \/> MSC Primary 47B07, Secondary 47B10<\/li>\n<\/ul>\n<p>Short <em>fact sheet<\/em> on compact operators.<\/p>\n<h3>Guide sur la cohomologie des faisceaux<\/h3>\n<ul>\n<li>version 1.1, 2024-09-04 : <a title=\"gcf.pdf\" href=\"wp-content\/uploads\/pdf\/gcf.pdf\"><img decoding=\"async\" src=\"wp-content\/uploads\/pdf.png\" alt=\"pdf\" \/><\/a><br \/>first published: 2005-06-28<br \/>MSC Primary 55N30, Secondary 18F20, 14F40<\/li>\n<\/ul>\n<p>Pendant la retranscription du <a title=\"Surfaces de Riemann compactes\"<a href=\"https:\/\/berndt-schwerdtfeger.de\/?page_id=85#riem\">cours de Giraud<\/a> en TeX, j&#8217;ai \u00e9galement pr\u00e9par\u00e9 ce guide en TeX. Il appartient aussi \u00e0 l&#8217;appendice du cours. Il contient en 20 pages plus qu&#8217;il ne faut sur la cohomologie des faisceaux des espaces topologiques g\u00e9n\u00e9raux.<br \/>\nVersion v1.1 fixes a minor typo.<\/p>\n<h3><a name=\"gal\"><\/a>Etale morphisms in Topology<\/h3>\n<ul>\n<li>version 1.1, 2016-03-28 : <a title=\"gal.pdf\" href=\"wp-content\/uploads\/pdf\/gal.pdf\"><img decoding=\"async\" src=\"wp-content\/uploads\/pdf.png\" alt=\"pdf\" \/><\/a><br \/>first published: 1999-07-04<br \/>MSC Primary 57M10, Secondary 57S30<\/li>\n<\/ul>\n<p>The subject of this note are \u00e9tale morphisms in topology, as they are encountered in the theory of unramified coverings. It goes back to classes of Giraud on <a title=\"Surfaces de Riemann compactes\" href=\"wp-content\/uploads\/pdf\/riemann.pdf\">Riemann surfaces<\/a> and Verdier on <a title=\"Groupe fondamental \u00e9tale et topologique\" href=\"wp-content\/uploads\/pdf\/gfet.pdf\">fundamental group<\/a>.<br \/>\nThis revision has added some references to SGA 4 and Topologie g\u00e9n\u00e9rale.<\/p>\n<p>The initial version had been posted to the preprint server of the AMS in 1998, which was shut down during the process of acceptance of the paper. This version was later published in the <a title=\"Topology Atlas\" href=\"http:\/\/at.yorku.ca\/topology\" target=\"_blank\" rel=\"noopener\">Topology Atlas<\/a> in its Preprints section <a title=\"Topological Covering Theory\" href=\"http:\/\/at.yorku.ca\/i\/d\/e\/b\/78.htm\" target=\"_blank\" rel=\"noopener\">Preprint # 429<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Compact operators version 1.0, 2011-12-01 : MSC Primary 47B07, Secondary 47B10 Short fact sheet on compact operators. Guide sur la cohomologie des faisceaux version 1.1, 2024-09-04 : first published: 2005-06-28MSC Primary 55N30, Secondary 18F20, 14F40 Pendant la retranscription du<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":57,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-81","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/berndt-schwerdtfeger.de\/index.php?rest_route=\/wp\/v2\/pages\/81","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/berndt-schwerdtfeger.de\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/berndt-schwerdtfeger.de\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/berndt-schwerdtfeger.de\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/berndt-schwerdtfeger.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=81"}],"version-history":[{"count":10,"href":"https:\/\/berndt-schwerdtfeger.de\/index.php?rest_route=\/wp\/v2\/pages\/81\/revisions"}],"predecessor-version":[{"id":961,"href":"https:\/\/berndt-schwerdtfeger.de\/index.php?rest_route=\/wp\/v2\/pages\/81\/revisions\/961"}],"up":[{"embeddable":true,"href":"https:\/\/berndt-schwerdtfeger.de\/index.php?rest_route=\/wp\/v2\/pages\/57"}],"wp:attachment":[{"href":"https:\/\/berndt-schwerdtfeger.de\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=81"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}