{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T04:59:20Z","timestamp":1648875560048},"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":4302,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2002,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Any model of ZFC + GCH has a generic extension (made with a poset of size \u2135<jats:sub>2<\/jats:sub>) in which the following hold: <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200009634_inline1\" \/><jats:italic>there exists a<\/jats:italic><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200009634_inline2\" \/>-<jats:italic>well ordering of the reals<\/jats:italic>, The proof consists in iterating posets designed to change at will the guessing properties of ladder systems on <jats:italic>\u03c9<\/jats:italic><jats:sub>1<\/jats:sub>. Therefore, the study of such ladders is a main concern of this article.<\/jats:p>","DOI":"10.2178\/jsl\/1190150099","type":"journal-article","created":{"date-parts":[[2007,12,13]],"date-time":"2007-12-13T19:13:31Z","timestamp":1197573211000},"page":"579-597","source":"Crossref","is-referenced-by-count":6,"title":["Coding with ladders a well ordering of the reals"],"prefix":"10.1017","volume":"67","author":[{"given":"Uri","family":"Abraham","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":"S0022481200009634_ref009","unstructured":"Woodin H. , Large cardinals and determinacy, in preparation."},{"key":"S0022481200009634_ref008","unstructured":"Solovay R. M. , a paper to be published in the Archive."},{"key":"S0022481200009634_ref006","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12831-2"},{"key":"S0022481200009634_ref005","first-page":"84","volume-title":"Mathematical logic and foundation of set theory","author":"Jensen","year":"1970"},{"key":"S0022481200009634_ref001","volume-title":"Handbook of set theory","author":"Abraham"},{"key":"S0022481200009634_ref004","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(77)90004-3"},{"key":"S0022481200009634_ref002","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(93)90228-6"},{"key":"S0022481200009634_ref003","doi-asserted-by":"publisher","DOI":"10.1007\/s001530050046"},{"key":"S0022481200009634_ref007","doi-asserted-by":"publisher","DOI":"10.1007\/BF02801471"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200009634","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,7]],"date-time":"2019-05-07T01:06:33Z","timestamp":1557191193000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200009634\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,6]]},"references-count":9,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2002,6]]}},"alternative-id":["S0022481200009634"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1190150099","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,6]]}}}