{"id":732,"date":"2015-07-27T16:42:08","date_gmt":"2015-07-27T14:42:08","guid":{"rendered":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=732"},"modified":"2017-10-30T17:09:25","modified_gmt":"2017-10-30T16:09:25","slug":"adjoint-functor-theorems-gaft-and-saft","status":"publish","type":"post","link":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=732","title":{"rendered":"Adjoint Functor Theorems: GAFT and SAFT"},"content":{"rendered":"<p>You have probably sweated a lot at trying to understand the constructions of\u00a0<a title=\"Powerdomains and hyperspaces IV: theories\" href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=664\">Part IV<\/a>. \u00a0They rest on a lot of topology and domain theory. \u00a0Perhaps surprisingly (if you do not know it already), they are completely generic, and work in any category with enough structure. \u00a0This is what we learn from Peter Freyd&#8217;s adjoint functor theorems, of which there are two: the general one, and the special one. \u00a0Read the <a title=\"Adjoint Functor Theorems: GAFT and SAFT\" href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=719\">full post<\/a>.<\/p>\n<div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>You have probably sweated a lot at trying to understand the constructions of\u00a0Part IV. \u00a0They rest on a lot of topology and domain theory. \u00a0Perhaps surprisingly (if you do not know it already), they are completely generic, and work in &hellip; <a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=732\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-732","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts\/732","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=732"}],"version-history":[{"count":2,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts\/732\/revisions"}],"predecessor-version":[{"id":1290,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts\/732\/revisions\/1290"}],"wp:attachment":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=732"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=732"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=732"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}