{"id":1147,"date":"2017-02-23T18:55:52","date_gmt":"2017-02-23T17:55:52","guid":{"rendered":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1147"},"modified":"2021-12-20T09:48:41","modified_gmt":"2021-12-20T08:48:41","slug":"open-problems","status":"publish","type":"page","link":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/?page_id=1147","title":{"rendered":"Open Problems"},"content":{"rendered":"

This is a list of questions that I have not managed to solve yet, or that I think should be left to others.\u00a0 If you have any solution, total or partial, please contact me at goubault (at) lsv.ens-paris-saclay.fr<\/code>.<\/p>\n

I am looking for brilliant students in the field.\u00a0 Finding a solution to one of those problems may convince me that I should hire you!<\/p>\n

I’ll update that list from time to time, adding new problems, removing solved problems, and so on. I am not offering any guarantee that this will change often!<\/p>\n

    \n
  1. Ordinal heights of Noetherian spaces<\/del><\/a> (difficulty: moderate; suitable for a good M2 or PhD student; posted 23 feb 2017)<\/del><\/li>\n
  2. FAC spaces<\/a> (difficulty: pretty hard; suitable for an excellent PhD student; posted 23 feb 2017;<\/del> solved<\/a> 30 oct 2017, not that hard after all)<\/li>\n
  3. Topologies on spaces of Lipschitz Yoneda-continuous maps<\/a> (difficulty: really tough; posted 23 feb 2017)<\/li>\n
  4. Full abstraction for languages with demonic and probabilistic choice<\/a> (difficulty: moderate; suitable for a good M2 or PhD student; posted 08 nov 2017<\/del>; can be considered solved<\/a>, somehow; posted 4 feb 2019 [with some delay, sorry])<\/li>\n
  5. G<\/em>\u03b4<\/sub> subspaces of locally compact sober spaces<\/a> (difficulty: high; posted 30 mar 2018).<\/li>\n
  6. Core-compact vs. locally compact, well-filtered vs. sober<\/a> (difficulty: high; posted 5 fev 2019).<\/del>\u00a0 \u00a0Most\u2014not quite all\u2014of the open problems on that subpage have been solved now (July-September 2019).<\/li>\n
  7. Statures and dimensions of spaces of trees, of infinite words<\/a> (difficulty: high; posted 20 dec 2021).<\/li>\n<\/ol>\n

    \u2014 Jean Goubault-Larrecq<\/a>\"jgl-2011\"<\/p>\n","protected":false},"excerpt":{"rendered":"

    This is a list of questions that I have not managed to solve yet, or that I think should be left to others.\u00a0 If you have any solution, total or partial, please contact me at goubault (at) lsv.ens-paris-saclay.fr. I am … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_crdt_document":"","footnotes":""},"class_list":["post-1147","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/pages\/1147","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/types\/page"}],"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=1147"}],"version-history":[{"count":16,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/pages\/1147\/revisions"}],"predecessor-version":[{"id":4557,"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=\/wp\/v2\/pages\/1147\/revisions\/4557"}],"wp:attachment":[{"href":"https:\/\/projects.lsv.ens-paris-saclay.fr\/topology\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1147"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}