{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T11:45:01Z","timestamp":1759146301826},"reference-count":10,"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":5490,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1999,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>It is shown in ZF that if \u03b4 &lt; \u03b4<jats:sup>+<\/jats:sup> &lt; \u03a9 are such that \u03b4 and \u03b4<jats:sup>+<\/jats:sup> are either both weakly compact or singular cardinals and \u03a9 is large enough for putting the core model apparatus into action then there is an inner model with a Woodin cardinal.<\/jats:p>","DOI":"10.2307\/2586755","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T18:02:25Z","timestamp":1146938545000},"page":"139-146","source":"Crossref","is-referenced-by-count":14,"title":["Successive weakly compact or singular cardinals"],"prefix":"10.1017","volume":"64","author":[{"given":"Ralf-Dieter","family":"Schindler","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200013943_ref003","first-page":"71\u2013125","volume":"2","year":"1989","journal-title":"Journal of the American Mathematical Society"},{"key":"S0022481200013943_ref002","first-page":"91\u2013132","volume-title":"Cabal seminar 76\u201377","volume":"689","year":"1987"},{"key":"S0022481200013943_ref001","volume-title":"Set theory","year":"1978"},{"key":"S0022481200013943_ref013","volume-title":"The core model iterability problem","year":"1996"},{"key":"S0022481200013943_ref005","first-page":"595\u2013609","volume":"2","year":"1995","journal-title":"Mathematical Research Letters"},{"key":"S0022481200013943_ref008","volume-title":"Descriptive set theory","year":"1980"},{"key":"S0022481200013943_ref010","first-page":"22\u201328","volume":"43","year":"1997","journal-title":"Mathematical Logic Quarterly"},{"key":"S0022481200013943_ref007","volume-title":"Fine structure and iteration trees","year":"1994"},{"key":"S0022481200013943_ref006","first-page":"219\u2013255","volume":"84","year":"1997","journal-title":"Annals of Pure and Applied Logic"},{"key":"S0022481200013943_ref012","first-page":"75\u201384","volume":"1","year":"1995","journal-title":"The Bulletin of Symbolic Logic"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200013943","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,10]],"date-time":"2019-05-10T19:07:13Z","timestamp":1557515233000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200013943\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,3]]},"references-count":10,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1999,3]]}},"alternative-id":["S0022481200013943"],"URL":"https:\/\/doi.org\/10.2307\/2586755","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,3]]}}}