{"id":5122,"date":"2026-06-03T13:15:01","date_gmt":"2026-06-03T11:15:01","guid":{"rendered":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/?p=5122"},"modified":"2026-06-04T08:52:16","modified_gmt":"2026-06-04T06:52:16","slug":"criteria-advances","status":"publish","type":"post","link":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/archives\/5122","title":{"rendered":"Criteria Advances"},"content":{"rendered":"<p>Advances in Mathematics published a <a href=\"https:\/\/doi.org\/10.1016\/j.aim.2026.111080\">paper<\/a> by <a href=\"https:\/\/www.researchgate.net\/profile\/Giuliano-Romeo\">Giuliano Romeo<\/a>, <a href=\"https:\/\/sites.google.com\/view\/krasensky\/\">Kuba Krasensky<\/a>, and Vita. In the article, we consider universality criterion sets, i.e., generalizations of the <a href=\"https:\/\/en.wikipedia.org\/wiki\/15_and_290_theorems\">15- and 290-Theorems<\/a>. Specifically, we use a novel characterization of minimal criterion sets to show that they always exist and are unique, and that they must contain certain explicit elements.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Advances in Mathematics published a paper by Giuliano Romeo, Kuba Krasensky, and Vita. In the article, we consider universality criterion sets, i.e., generalizations of the 15- and 290-Theorems. Specifically, we use a novel characterization of minimal criterion sets to show that they always exist and are unique, and that they must contain certain explicit elements.<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_kad_post_transparent":"default","_kad_post_title":"default","_kad_post_layout":"default","_kad_post_sidebar_id":"","_kad_post_content_style":"default","_kad_post_vertical_padding":"default","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_kad_post_classname":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-5122","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/posts\/5122","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/comments?post=5122"}],"version-history":[{"count":5,"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/posts\/5122\/revisions"}],"predecessor-version":[{"id":5135,"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/posts\/5122\/revisions\/5135"}],"wp:attachment":[{"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/media?parent=5122"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/categories?post=5122"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/tags?post=5122"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}