{"id":6391,"date":"2023-02-20T19:07:42","date_gmt":"2023-02-20T18:07:42","guid":{"rendered":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=6391"},"modified":"2023-02-20T19:29:22","modified_gmt":"2023-02-20T18:29:22","slug":"on-till-plewes-game-and-matthew-de-brechts-non-consonance-arguments","status":"publish","type":"post","link":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=6391","title":{"rendered":"On Till Plewe&#8217;s game and Matthew de Brecht&#8217;s non-consonance arguments"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=6120\" data-type=\"page\" data-id=\"6120\">Last time<\/a> I mentioned that <em>S<\/em><sub>0<\/sub> is not consonant.  I will give Matthew de Brecht&#8217;s proof of that.  Perhaps the most interesting part of this proof is a criterion that he proves and uses: if a space <em>X<\/em> is consonant, then player II has a winning strategy in a certain game invented by Till Plewe in order to characterize the spatiality of locale products.  Read the <a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=6249\" data-type=\"page\" data-id=\"6249\">full post<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Last time I mentioned that S0 is not consonant. I will give Matthew de Brecht&#8217;s proof of that. Perhaps the most interesting part of this proof is a criterion that he proves and uses: if a space X is consonant, &hellip; <a href=\"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?p=6391\">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":{"footnotes":""},"categories":[1],"tags":[11,18,10,38],"class_list":["post-6391","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-consonance","tag-counterexample","tag-game","tag-ordinal"],"_links":{"self":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts\/6391","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=6391"}],"version-history":[{"count":2,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts\/6391\/revisions"}],"predecessor-version":[{"id":6394,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/posts\/6391\/revisions\/6394"}],"wp:attachment":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6391"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6391"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6391"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}