{"id":1632,"date":"2018-12-25T19:17:21","date_gmt":"2018-12-25T18:17:21","guid":{"rendered":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=1632"},"modified":"2020-04-03T10:38:34","modified_gmt":"2020-04-03T08:38:34","slug":"on-countability","status":"publish","type":"post","link":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=1632","title":{"rendered":"On countability"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Let me first wish you a Merry Christmas, and since I will not post again next week, a Happy New Year 2019 as well. \u00a0I have no specific present this year, sorry&#8230; This month&#8217;s post is about a few thoughts I have had about the role of countability is a few situations other than the expected ones. \u00a0This will culminate in a recent result of de Brecht and Kawai\u2014the Scott and the upper Vietoris topologies coincide on the Smyth powerdomain of a well-filtered second-countable space\u2014 and its clever proof: see the <a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1591\">full post<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Let me first wish you a Merry Christmas, and since I will not post again next week, a Happy New Year 2019 as well. \u00a0I have no specific present this year, sorry&#8230; This month&#8217;s post is about a few thoughts &hellip; <a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=1632\">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":{"_crdt_document":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1632","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\/1632","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=1632"}],"version-history":[{"count":1,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts\/1632\/revisions"}],"predecessor-version":[{"id":1633,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts\/1632\/revisions\/1633"}],"wp:attachment":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1632"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1632"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1632"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}