{"id":5567,"date":"2022-07-20T07:39:53","date_gmt":"2022-07-20T05:39:53","guid":{"rendered":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=5567"},"modified":"2023-05-21T16:52:33","modified_gmt":"2023-05-21T14:52:33","slug":"a-report-from-isdt22-one-step-closure-c-spaces-are-not-ccc","status":"publish","type":"post","link":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=5567","title":{"rendered":"A report from ISDT&#8217;22: one-step closure; c-spaces are not CCC"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">I have been attending the 9th International Symposium on Domain Theory (<a href=\"https:\/\/math.nie.edu.sg\/isdt09\/\">ISDT&#8217;22<\/a>), which took place online, July 4-6, 2022, in Singapore.  This was a fine conference indeed, and it ran very smoothly.  I initially intended to give a summary of what happened there, but in the end I decided to concentrate on just two contributed papers: one by Hualin Miao, Qingguo Li, and Dongsheng Zhao, about those posets that have one-step closure, namely in which one can compute the Scott-closure of a downwards-closed subset <em>A<\/em> by just taking the collection of suprema of directed families included in <em>A<\/em>; the other one by Zhenchao Lyu, Xiaolin Xie, and Hui Kou, who showed that the category of c-spaces and the category of locally finitary compact spaces are not Cartesian-closed, by an argument that is both easy and clever.  Read the <a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=5509\" data-type=\"page\" data-id=\"5509\">full post<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I have been attending the 9th International Symposium on Domain Theory (ISDT&#8217;22), which took place online, July 4-6, 2022, in Singapore. This was a fine conference indeed, and it ran very smoothly. I initially intended to give a summary of &hellip; <a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=5567\">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":[24,23,72],"class_list":["post-5567","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-cartesian-closeness","tag-closure","tag-exponentiability"],"_links":{"self":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts\/5567","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=5567"}],"version-history":[{"count":1,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts\/5567\/revisions"}],"predecessor-version":[{"id":5568,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts\/5567\/revisions\/5568"}],"wp:attachment":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5567"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5567"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5567"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}