{"id":1978,"date":"2019-07-20T09:40:03","date_gmt":"2019-07-20T07:40:03","guid":{"rendered":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1978"},"modified":"2023-09-20T19:44:48","modified_gmt":"2023-09-20T17:44:48","slug":"domains-and-orders","status":"publish","type":"page","link":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1978","title":{"rendered":"Domains and orders"},"content":{"rendered":"<p>Here is the list of posts on domains and posets, as opposed to more general topological spaces, so far:<\/p>\n<ol>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=176\">Bourbaki, Witt, and Dito Pataraia<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=521\">Quasi-continuous dcpos and locally finitary compact spaces<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=563\">Iwamura&#8217;s lemma, Markowsky&#8217;s theorem and ordinals<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1173\">Coherence of dcpos<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1204\">Well-filtered dcpos<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=799\">Markowsky or Cohn?<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1466\">FS-domains of discs and formal balls<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=1499\">Dcpos and convergence spaces I: Scott and Heckmann convergences<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1503\">Dcpos and convergence spaces II: preserving products<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1899\">Bc-hulls and Clat-hulls<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=2102\">Quotients, colimits of dcpos, and related matters<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=2226\">Dcpos built as graphs of functions<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=2259\">X. Jia&#8217;s well-filtered, non-sober dcpo<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=2416\">Quasi-Polish spaces and rounded ideal completions<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=2507\">Zhao, Xi, and Chen&#8217;s well-filtered, non-sober dcpo<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=3410\">Plotkin&#8217;s powerdomain and the hedgehog<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=4689\">L-domains, stable open sets, and stable Stone duality<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=5509\">A report from ISDT&#8217;22: one-step closure; c-spaces are not CCC<\/a><\/li>\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=7144\">Scott&#8217;s formula<\/a><\/li>\n<\/ol>\n<p style=\"text-align: right;\">\u2014 <a href=\"https:\/\/www.lsv.ens-paris-saclay.fr\/~goubault\/?l=en\" rel=\"attachment wp-att-993\">Jean Goubault-Larrecq<\/a><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-993 alignright\" src=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/wp-content\/uploads\/2016\/08\/jgl-2011.png\" alt=\"jgl-2011\" width=\"32\" height=\"44\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here is the list of posts on domains and posets, as opposed to more general topological spaces, so far: Bourbaki, Witt, and Dito Pataraia Quasi-continuous dcpos and locally finitary compact spaces Iwamura&#8217;s lemma, Markowsky&#8217;s theorem and ordinals Coherence of dcpos &hellip; <a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1978\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_crdt_document":"","footnotes":""},"class_list":["post-1978","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/pages\/1978","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/types\/page"}],"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=1978"}],"version-history":[{"count":16,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/pages\/1978\/revisions"}],"predecessor-version":[{"id":7195,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/pages\/1978\/revisions\/7195"}],"wp:attachment":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1978"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}