{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T12:07:27Z","timestamp":1759147647181},"reference-count":22,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":1015,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2011,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Let <jats:italic>\u03ba<\/jats:italic> be a regular uncountable cardinal and <jats:italic>\u03bb<\/jats:italic> be a cardinal greater than <jats:italic>\u03ba<\/jats:italic>. We show that if 2<jats:sup>&lt;<jats:italic>\u03ba<\/jats:italic><\/jats:sup> \u2264 <jats:italic>M<\/jats:italic>(<jats:italic>\u03ba<\/jats:italic>, <jats:italic>\u03bb<\/jats:italic>), then \u25c7<jats:sub><jats:italic>\u03ba,\u03bb<\/jats:italic><\/jats:sub> holds, where <jats:italic>M<\/jats:italic>(<jats:italic>\u03ba, \u03bb<\/jats:italic>) equals <jats:italic>\u03bb<\/jats:italic><jats:sup>\u2135<jats:sub>0<\/jats:sub><\/jats:sup> if <jats:italic>cf<\/jats:italic>(<jats:italic>\u03bb<\/jats:italic>) \u2265 <jats:italic>\u03ba<\/jats:italic>, and (<jats:italic>\u03bb<\/jats:italic><jats:sup>+<\/jats:sup>)<jats:sup>\u2135<jats:sub>0<\/jats:sub><\/jats:sup> otherwise.<\/jats:p>","DOI":"10.2178\/jsl\/1305810755","type":"journal-article","created":{"date-parts":[[2011,5,19]],"date-time":"2011-05-19T09:18:58Z","timestamp":1305796738000},"page":"405-417","source":"Crossref","is-referenced-by-count":5,"title":["The Magidor function and diamond"],"prefix":"10.1017","volume":"76","author":[{"given":"Pierre","family":"Matet","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200001754_ref017","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0098512"},{"key":"S0022481200001754_ref016","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2008.09.022"},{"key":"S0022481200001754_ref015","doi-asserted-by":"publisher","DOI":"10.4153\/CMB-2008-057-5"},{"key":"S0022481200001754_ref011","first-page":"1303","volume":"71","author":"Liu","year":"2006","journal-title":"Bounds for covering numbers"},{"key":"S0022481200001754_ref008","unstructured":"Kojman M. , The A, B, Cofpcf. a companion to pcf theory, part I, unpublished, 1995."},{"key":"S0022481200001754_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/BF02401842"},{"key":"S0022481200001754_ref019","doi-asserted-by":"publisher","DOI":"10.1007\/BF02785587"},{"key":"S0022481200001754_ref007","volume-title":"Set theory","author":"Jech","year":"2002"},{"key":"S0022481200001754_ref010","volume-title":"Set theory","author":"Kunen","year":"1980"},{"key":"S0022481200001754_ref003","doi-asserted-by":"publisher","DOI":"10.1007\/BF02764635"},{"key":"S0022481200001754_ref001","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4020-5764-9_15"},{"key":"S0022481200001754_ref014","first-page":"211","article-title":"Club-guessing, goodpoints and diamond","volume":"48","author":"Matet","year":"2007","journal-title":"Commentationes Universitatis Carolinae"},{"key":"S0022481200001754_ref005","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-04-03445-2"},{"key":"S0022481200001754_ref002","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1992-1041044-9"},{"key":"S0022481200001754_ref012","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1990-0939805-5"},{"key":"S0022481200001754_ref009","unstructured":"K\u00f6nig B. , Winning strategies and tactics in club games, preprint."},{"key":"S0022481200001754_ref021","doi-asserted-by":"publisher","DOI":"10.1090\/pspum\/013.1\/0290961"},{"key":"S0022481200001754_ref006","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(73)90014-4"},{"key":"S0022481200001754_ref022","unstructured":"Todorcevic S. , personal communication."},{"key":"S0022481200001754_ref020","doi-asserted-by":"publisher","DOI":"10.1142\/9789812796554_0015"},{"key":"S0022481200001754_ref018","unstructured":"Shelah S. , Non-structure theory, to appear."},{"key":"S0022481200001754_ref013","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0097335"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200001754","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,27]],"date-time":"2019-04-27T04:30:32Z","timestamp":1556339432000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200001754\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,6]]},"references-count":22,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2011,6]]}},"alternative-id":["S0022481200001754"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1305810755","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,6]]}}}