{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T13:18:10Z","timestamp":1648819090725},"reference-count":9,"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":8685,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1990,6]]},"abstract":"<jats:p>Before the remarkable theorem of Martin and Steel [6] showing that the existence of a supercompact cardinal \u03ba implies <jats:italic>L<\/jats:italic>[<jats:bold>R<\/jats:bold>] \u22a8 ZF + AD + DC, and the later theorem of Woodin [9] showing that Con(ZFC + There exists an <jats:italic>\u03c9<\/jats:italic> sequence of Woodin cardinals) \u21d4 Con(ZF + AD + DC), much set-theoretic research was focused upon showing that the consistency of fragments of AD + DC followed from more \u201creasonable\u201d hypotheses such as versions of supercompactness. A good example of this is provided by the results of [1], in which the following theorems are proven.<\/jats:p>","DOI":"10.2307\/2274642","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T18:35:29Z","timestamp":1146940529000},"page":"492-501","source":"Crossref","is-referenced-by-count":2,"title":["Successors of singular cardinals and measurability revisited"],"prefix":"10.1017","volume":"55","author":[{"given":"Arthur W.","family":"Apter","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200025925_ref001","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(85)90092-1"},{"key":"S0022481200025925_ref008","article-title":"Changing measurable into accessible cardinals","volume":"68","author":"Prikry","year":"1970","journal-title":"Dissertationes Mathematicae (Rozprawy Matematyczne"},{"key":"S0022481200025925_ref007","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700028755"},{"key":"S0022481200025925_ref009","unstructured":"Woodin H. , unpublished."},{"key":"S0022481200025925_ref005","doi-asserted-by":"publisher","DOI":"10.1007\/BF02771612"},{"key":"S0022481200025925_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/BF02761175"},{"key":"S0022481200025925_ref002","volume-title":"The axiom of choice","author":"Jech","year":"1973"},{"key":"S0022481200025925_ref003","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0069385"},{"key":"S0022481200025925_ref006","unstructured":"Martin D. A. and Steel J. , Iteration trees, handwritten notes."}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200025925","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,18]],"date-time":"2019-05-18T17:14:10Z","timestamp":1558199650000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200025925\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,6]]},"references-count":9,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1990,6]]}},"alternative-id":["S0022481200025925"],"URL":"https:\/\/doi.org\/10.2307\/2274642","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,6]]}}}