{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,11,14]],"date-time":"2023-11-14T14:20:27Z","timestamp":1699971627745},"reference-count":9,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":4394,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2002,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We prove the consistency result from the title. By forcing we construct a model of <jats:italic>g<\/jats:italic> = \u2135<jats:sub>1<\/jats:sub>, b = cf(Sym(<jats:italic>\u03c9<\/jats:italic>)) = \u2135<jats:sub>2<\/jats:sub>.<\/jats:p>","DOI":"10.2178\/jsl\/1190150045","type":"journal-article","created":{"date-parts":[[2007,12,13]],"date-time":"2007-12-13T14:12:10Z","timestamp":1197555130000},"page":"297-314","source":"Crossref","is-referenced-by-count":1,"title":["The relative consistency of <i>g<\/i> &lt; cf(Sym(<i>\u03c9<\/i>))"],"prefix":"10.1017","volume":"67","author":[{"given":"Heike","family":"Mildenbergert","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Saharon","family":"Shelah","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200010008_ref001","volume-title":"Handbook of Set Theory","author":"Abraham"},{"key":"S0022481200010008_ref002","first-page":"165","article-title":"Squared diamonds","volume":"78","author":"Abraham","year":"1982","journal-title":"Fundamenta Mathematicae"},{"key":"S0022481200010008_ref003","volume-title":"Constructibility","author":"Devlin","year":"1980"},{"key":"S0022481200010008_ref004","volume-title":"Set Theory, An Introduction to Independence Proofs","author":"Kunen","year":"1980"},{"key":"S0022481200010008_ref005","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(77)90006-7"},{"key":"S0022481200010008_ref006","article-title":"Non-elementary proper forcing notions","author":"Shelah","journal-title":"Journal of Applied Analysis"},{"key":"S0022481200010008_ref007","volume-title":"Proper and Improper Forcing","author":"Shelah","year":"1977"},{"key":"S0022481200010008_ref008","unstructured":"Shelah S. , Tree forcings, preprint, 2000."},{"key":"S0022481200010008_ref009","doi-asserted-by":"publisher","DOI":"10.1007\/s001530050109"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200010008","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,6]],"date-time":"2019-05-06T21:34:57Z","timestamp":1557178497000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200010008\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,3]]},"references-count":9,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2002,3]]}},"alternative-id":["S0022481200010008"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1190150045","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,3]]}}}