{“状态”:“确定”,“消息类型”:“工作”,“消息版本”:“1.0.0”,“消息”:{“索引”:{“日期部分”:[[2022,4,1]],“日期-时间”:“2022-04-01T18:57:31Z”,“时间戳”:1648839451299},“引用计数”:17,“出版商”:“剑桥大学出版社(CUP)”,“问题”:“4”,“许可证”:[{“开始”:{“日期部分”:[[2014,3,12]],“日期-时间”:“2014-03-12T00:00Z”,“时间戳”:1394582400000},“content-version”:“unspecified”,“delay-in-days”:2293,“URL”:“https:\/\/www.cambridge.org\/core\/terms”}],“content-domain”:{“domain”:[],“crossmark-restriction”:false},”short-container-title“:[”J.symb.log.“],”published-print“:{”date-parts“:[[2007,12]}”,“abstract”:“”摘要<\/jats:title>我们研究了图灵度上极大链的存在性问题。我们显示:<\/jats:p>1ZF<\/jats:italic>+DC<\/jats:italic>+\u201c图灵度中不存在最大链\u201d与ZFC<\/jats:italic>+\u201c存在无法访问的基数\u201d2.面向所有人a<\/jats:italic>\u2208 2\u03c9<\/jats:sup><\/jax:italic>(\u03c9<\/jats:italic>1<\/jats:sub>)L<\/jats:italic>[a<\/jats:italic>]=\u03c9<\/jats:italic>1<\/jats:sub>当且仅当存在[图灵度中的最大链。作为推论,ZFC<\/jats:italic>+\u201c存在无法访问的基数\u201d与ZFC<\/jats:italic>+\u201c没有(粗体)图灵度的最大链\u201d<\/jats:p>“,”DOI“:”10.2178\/jsl\/1203350783“,”type“:”期刊文章“,”created“:{”日期部分“:[[2008,3,25],”日期时间“:”2008-03-25T18:42:11Z“,”时间戳“:1206470531000},”page“:”1219-1227“,”source“:”Crossref“,”由计数引用“:4,”title“:[”图灵度中的最大链“],”prefix“:”10.1017“,”volume“:”72“,”author“:[{“给定”:“C.T.”,“家族“:”Chong“,”sequence“:”first“,”affiliation“:[]},”{“given”:“Liang”,“family”:“Yu”,“sequence”:“additional”,“affiliation:[]}],“member”:“56”,“published-on-line”:{“date-parts”:[[2014,3,12]},“reference”:[{“key”:”S0022481200004886_ref009“,”doi-asserted-by“:”publisher“,“doi”:“10.2307\/1971035”},{“key”:“S0022481200004886_ref007”,“doi-asserted-by”:“publisher“,”DOI“:”10.1016\/0003-4843(72)90001-0“},{“key”:“S0022481200004886_ref001”,“DOI-asserted-by”:“publisher”,“DOI”:“10.1007\/BF02772668”},“key“:”S0022481 200004886_ ref010“,“doiasserted-by 016“,”首页“:”58“,”卷标“:”数学基础(纪念Kurt G\u00f6del研讨会,俄亥俄州哥伦布,1966年),“作者”:“Solovay”,“年份”:“1969年”},{“key”:“S0022481200004886_ref005”,“doi-asserted-by”:“publisher”,”doi“:“10.1090\/conm\/065\/891249”}755-9“},{“键”:”S0022481200004886_ref006“,“volume-title”:“集合论”,“author”:“Jech”,“year”:“2003”},{“key”:“S0022481 200004886_ ref015”,“doi-asserted-by”:“publisher”,“doi”:“10.1090\/S0002-9947-1975-0392534-3”}、{“密钥”:“SO0022481120004886_ref002”,5-5“},{“key”:“S0022481200004886_ref003”,“首页”:“497”,“volume“:”33“,”author“:”Boolos“,”year“:”1968“,”journal-title“:”可构造整数集的不可解度“},{“key”:“S0022481200004886_ref004”,“doi-asserted-by”:“publisher”,”doi“:”10.1007\/978-3662-21723-8“}”,{”key:“S0224812000048086_ref011 90013-4“},{”密钥“:”S0022481200004886_ref012“,”volume-title“:”描述性集合理论“,”volume“:”100“,”author“:”Moschovakis“,”year“:”1980“},”{“key”:“S0022481 200004886_ ref013”,”volum-title”:“不可解度”,”author“:”Sacks“,”year“:“1963”},{“key”:”S002248 120004886_ref014“,”doi-asserted-by“:”publisher“,”doi“:“10.1007\/978-3662-12013-2”},{“密钥”:“S0022481200004886_ref017“,”doi-asserted-by“:”publisher“,”doi“:”10.2307\/1970696“}],”container-title“:[”Journal of Symbolic Logic“],”original-title”:[],”language“:”en“,”link“:[{”URL“:”https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S002248120004886“,”content-type“:”unspecified“,”content-version““:”vor“,”intended-application“:”similarity-checking“}],”deposed“:{”date-parts“:[[2019,5,1]],”date-time“:”2019-05-01T19:42:59Z“,”timestamp“:1556739779000},”score“:1,”resource“:”primary“:”{“URL”:“https:\/\/www.cambridge.org\/core\/product\/identifier \/S0022481200004886\/type\/journal_article“}}}”,“subtitle”:[],“shorttitle”:[],“已发布”:{date-parts“:[[2007,12]]},“references-count”:17,“journal-issue”:{“issue”:“4”,“published-print”:{“date-part”:[[2007,12]]}},”alternative-id“:[”S0022481200004886“],”URL“:”http://\/dx.doi.org\/10.2178\/jsl\/1203350783“,”relation:{}“ISSN”:[”0022-4812“,”1943-5886“],“ISSN-type”:[{“value”:“0022-4812”,“type”:“print”},{“value”:“1943-5886”,“类型”:“电子“}”,“主题”:[],“已发布”:{“日期部分”:[[2007,12]]}}}