{"id":19,"date":"2012-09-05T11:22:25","date_gmt":"2012-09-05T15:22:25","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/template\/?page_id=19"},"modified":"2026-03-19T08:17:54","modified_gmt":"2026-03-19T12:17:54","slug":"publications","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/wjm\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h1 class=\"wp-block-heading\">Publications<\/h1>\n\n\n\n\n\n\n\n\n\n<p>https:\/\/people.clas.ufl.edu\/wjm\/files\/changmodel-paper.pdf<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li> <a href=\"https:\/\/people.clas.ufl.edu\/wjm\/content-removed\/\" title=\"The sharp of the Chang is small\">The Sharp of the Chang Model is Small.<\/a><br>\nThe current version posted is that submitted to the Arxive for Mathematical Logic for the volume in honor of Jim Baumgartner (with a few minor corrections).\n<\/li><li>I have also posted <a href=\"http:\/\/www.dracontium.org\/?p=375\" title=\"Notes on possible future work related to this paper.\">some notes as to possible directions for improvement of these results<\/a>.<\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/wjm\/content-removed\/\">A sharp for the Chang model. <\/a>These are the slides for the talk which I gave at the MAMLS meeting at Harvard on February 21, 2011. I have made some corrections to the slides and added some notes.<\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/wjm\/content-removed\/\">Inner Models for Large Cardinals.<\/a> A chapter in Dov Gabbay, Akihiro Kanamori, and John Woods (editors), Set&#8217;s and Extensions in the Twentieth Century, Volume 6 of the <em>Handbook for <\/em><em>the History of Logic,<\/em> Cambridge University Press, 2012.<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1609.02633\"><em>On a question of Hamkins and Low\u00eb.<\/em> <\/a>(Joint with Mohammad Golshani)  This paper answers a question of Hamkins and Low\u00eb by showing, from an assumption weaker than \\(o(kappa) = kappa^{++}+1\\), the consistency of the statement  \u201c\\(Vequiv V[H]\\) for all infinite cardinals \\(lambda\\) and all generic \\(Hsubset text{Col}(omega,lambda)\\)\u201d.  A weaker lower bound on the consistency strength is also included.<\/li>\n<li><a href=\"http:\/\/arxiv.org\/abs\/math\/0506123\">A partition theorem for a large dense linear order.<\/a> Published as D\u017eamonja, M. ;\u00a0 Larson, J. A. ;\u00a0 Mitchell, W. J.,\u00a0\u00a0Israel J. Math.\u00a0 <strong>171<\/strong>\u00a0 (2009), 237\u2013284.<\/li>\n<li><a title=\" One repeat point gives a closed unbounded ultrafilter on [omega_1]\" href=\"http:\/\/arxiv.org\/abs\/1403.4690\">One repeat point gives a closed unbounded ultrafilter on \\(omega_1\\)<\/a>. This is an unpublished paper which I never managed to get into final shape.\u00a0This version dates from 2009.<\/li>\n<li><a href=\"http:\/\/www.ams.org\/journals\/tran\/2001-353-12\/S0002-9947-01-02853-7\/home.html\"><i>A Cardinal with a club set of inaccessibles from \\(mathop{mathrm o}(kappa)=kappa\\)<\/i><\/a>,   Published in <i>Trans. Amer. Math. Soc.<\/i> <strong>353<\/strong> (2001), no. 12, 4863\u20134897.<\/li>\n<li>\n<h3>The following papers are concerned with Shelah&#8217;s ideal \\(I[omega_2]\\)<\/h3>\n<ul>\n<li><a href=\"http:\/\/arxiv.org\/abs\/math\/0407225\"><i> \\(I[omega_2]\\) can be the nonstationary\tideal on \\(mathop{rm cf}(omega_1)\\)<\/i><\/a>.    Published in <i>Trans. Amer. Math. Soc.<\/i>  <strong>361<\/strong>  (2009),  no. 2, 561\u2013601.\n<\/li>\n<li><a href=\"http:\/\/dx.doi.org\/10.2178\/jsl\/1080938829\"><i>A\t  Weak Variation of Shelah&#8217;s \\(I[omega_2]\\)<\/i><\/a>.   Published in\t  <i>J. Symbolic Logic<\/i>  <strong>69<\/strong>  (2004),  no. 1, 94&#8211;100.\n\t  <\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/wjm\/content-removed\/\"><i>Iterating Forcing using Models as\tSide Conditions<i><\/i><\/i><\/a> These are notes for my alk at the <i>9th\tWorkshop in Set Theory<\/i> held at CIRM, Luminy Oct. 2-6,\t2006.   They have been updated from the notes  sent\t(inadvertantly) to all members of the workshop.\n          <\/li>\n<li>\nI have slides for the two talks which I gave at the meeting on Computational Prospects of Infinity at the National University of Singapore during July 2005.\n<ul>\n<li>\n<a href=\"https:\/\/people.clas.ufl.edu\/wjm\/content-removed\/\">The first talk<\/a> claimed to present a new model with no Aronszajn trees on \\(aleph_2\\) or \\(aleph_3\\); However there is a serious error in the proof for \\(aleph_3\\).\n<\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/wjm\/content-removed\/\">The second talk<\/a> presented the \\(I[omega_2] \\) model.\n<\/li>\n<\/ul>\n<\/li><\/ul>\n<\/li><\/ul>\n\n\n\n<p>These two files are scanned copies of the unpublished sections of my original paper presenting the core model for sequences of measures. It&#8217;s now of purely historic interest, since newer presentations of this material are much simpler and clearer. <\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/people.clas.ufl.edu\/wjm\/content-removed\/\" title=\"Section 4: fine structure\">Section 4: fine structure<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/wjm\/content-removed\/\" title=\"Sections 5\u20137: core model theory\">Sections 5\u20137: core model theory<\/a><\/li><\/ul>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":11,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-19","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/wjm\/wp-json\/wp\/v2\/pages\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/wjm\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/wjm\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/wjm\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/wjm\/wp-json\/wp\/v2\/comments?post=19"}],"version-history":[{"count":11,"href":"https:\/\/people.clas.ufl.edu\/wjm\/wp-json\/wp\/v2\/pages\/19\/revisions"}],"predecessor-version":[{"id":309,"href":"https:\/\/people.clas.ufl.edu\/wjm\/wp-json\/wp\/v2\/pages\/19\/revisions\/309"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/wjm\/wp-json\/wp\/v2\/media?parent=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}