{"id":6105,"date":"2022-12-19T22:19:48","date_gmt":"2022-12-19T21:19:48","guid":{"rendered":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=6105"},"modified":"2023-02-20T19:29:34","modified_gmt":"2023-02-20T18:29:34","slug":"aliaume-lopez-master-theorem-of-noetherian-spaces","status":"publish","type":"post","link":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=6105","title":{"rendered":"Aliaume Lopez&#8217; master theorem of Noetherian spaces"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">There are quite a few constructions that we can use to build new Noetherian spaces from old ones: spaces of finite words, of finite trees (as in Section 9.7 of the\u00a0<a href=\"https:\/\/www.cambridge.org\/gb\/knowledge\/isbn\/item7069109\/Non-Hausdorff%20Topology%20and%20Domain%20Theory\/?site_locale=en_GB\"><\/a><a href=\"https:\/\/www.cambridge.org\/gb\/knowledge\/isbn\/item7069109\/Non-Hausdorff%20Topology%20and%20Domain%20Theory\/?site_locale=en_GB\">book<\/a>), and a few others.  Instead of writing a new proof each time, is there some form of master theorem that would have all those results as corollaries?  This is exactly what Aliaume Lopez found this year.  Read the <a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=6007\" data-type=\"page\" data-id=\"6007\">full post<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Oh, and Season&#8217;s greetings, too!<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignright size-full is-resized\"><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/wp-content\/uploads\/2022\/12\/10years-1.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/wp-content\/uploads\/2022\/12\/10years-1.png\" alt=\"\" class=\"wp-image-6107\" width=\"236\" height=\"123\" srcset=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/wp-content\/uploads\/2022\/12\/10years-1.png 943w, https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/wp-content\/uploads\/2022\/12\/10years-1-300x156.png 300w, https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/wp-content\/uploads\/2022\/12\/10years-1-768x399.png 768w\" sizes=\"auto, (max-width: 236px) 100vw, 236px\" \/><\/a><\/figure>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>There are quite a few constructions that we can use to build new Noetherian spaces from old ones: spaces of finite words, of finite trees (as in Section 9.7 of the\u00a0book), and a few others. Instead of writing a new &hellip; <a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=6105\">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":[13,38,37],"class_list":["post-6105","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-noetherian","tag-ordinal","tag-wqo"],"_links":{"self":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts\/6105","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=6105"}],"version-history":[{"count":2,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts\/6105\/revisions"}],"predecessor-version":[{"id":6108,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts\/6105\/revisions\/6108"}],"wp:attachment":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6105"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6105"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6105"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}