{"id":1845,"date":"2019-04-21T16:15:07","date_gmt":"2019-04-21T14:15:07","guid":{"rendered":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1845"},"modified":"2023-03-20T11:19:04","modified_gmt":"2023-03-20T10:19:04","slug":"counterexamples","status":"publish","type":"page","link":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1845","title":{"rendered":"Counterexamples"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">A few counterexamples in domain theory and in topology:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1677\">A core-compact, non locally compact space<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1785\">Isbell&#8217;s non sober complete lattice<\/a><\/li>\n\n\n\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\n\n\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=3685\" data-type=\"page\" data-id=\"3685\">The Sorgenfrey line is not consonant<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=4939\" data-type=\"page\" data-id=\"4939\">Topological lattices and small semilattices<\/a> (Lawson&#8217;s example of a topological lattice that does not have small semilattices)<\/li>\n\n\n\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=4926\" data-type=\"page\" data-id=\"4926\">Compact scattered subspaces and a topological game<\/a> (preparing for Costantini and Watson&#8217;s proof that <strong>Q<\/strong> is not consonant)<\/li>\n\n\n\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=6120\" data-type=\"page\" data-id=\"6120\">The space <em>S<\/em><sub>0<\/sub><\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=6249\" data-type=\"page\" data-id=\"6249\">On Till Plewe&#8217;s game and Matthew de Brecht&#8217;s non-consonance arguments<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=6400\" data-type=\"page\" data-id=\"6400\">Localic products and Till Plewe\u2019s game<\/a><\/li>\n<\/ol>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignright is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/wp-content\/uploads\/2016\/08\/jgl-2011.png\" alt=\"jgl-2011\" class=\"wp-image-993\" width=\"80\" height=\"111\"\/><\/figure>\n<\/div>\n\n\n<p class=\"has-text-align-right wp-block-paragraph\">\u2014 <a href=\"https:\/\/www.lsv.ens-paris-saclay.fr\/~goubault\/?l=en\">Jean Goubault-Larrecq<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A few counterexamples in domain theory and in topology: \u2014 Jean Goubault-Larrecq<\/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-1845","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/pages\/1845","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=1845"}],"version-history":[{"count":7,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/pages\/1845\/revisions"}],"predecessor-version":[{"id":6607,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/pages\/1845\/revisions\/6607"}],"wp:attachment":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1845"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}