{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T04:03:21Z","timestamp":1775534601577,"version":"3.50.1"},"reference-count":14,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":9963,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1986,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>An explanation is given of why, after adding to a model <jats:italic>M<\/jats:italic> of ZFC first a Solovay real <jats:italic>r<\/jats:italic> and next a Cohen real <jats:italic>c<\/jats:italic>, in <jats:italic>M<\/jats:italic>[<jats:italic>r<\/jats:italic>] [<jats:italic>c<\/jats:italic>] a Cohen real over <jats:italic>M<\/jats:italic>[<jats:italic>c<\/jats:italic>] is produced. It is also shown that a Solovay algebra iterated with a Cohen algebra can be embedded into a Cohen algebra iterated with a Solovay algebra.<\/jats:p>","DOI":"10.2307\/2273908","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T22:19:27Z","timestamp":1146953967000},"page":"957-968","source":"Crossref","is-referenced-by-count":12,"title":["Why Solovay real produces Cohen real"],"prefix":"10.1017","volume":"51","author":[{"given":"Janusz","family":"Pawlikowski","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200030437_ref013","first-page":"595","volume-title":"Logic Colloquium '76","author":"Truss","year":"1977"},{"key":"S0022481200030437_ref006","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(73)90012-0"},{"key":"S0022481200030437_ref002","volume-title":"Fundamenta Mathematicae","author":"Bartoszy\u0144ski"},{"key":"S0022481200030437_ref014","first-page":"1008","volume":"48","author":"Truss","year":"1983","journal-title":"The noncommutativity of random and generic extensions"},{"key":"S0022481200030437_ref007","unstructured":"Krawczyk A. , A note on random reals, handwritten note, 1983."},{"key":"S0022481200030437_ref008","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1981-0613787-2"},{"key":"S0022481200030437_ref012","doi-asserted-by":"publisher","DOI":"10.2307\/1970696"},{"key":"S0022481200030437_ref003","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0067645"},{"key":"S0022481200030437_ref004","first-page":"560","volume":"51","author":"Cicho\u0144","year":"1986","journal-title":"On ideals of subsets of the plane and on Cohen reals"},{"key":"S0022481200030437_ref009","first-page":"347","article-title":"Corrections and additions to [M]","volume":"271","author":"Miller","year":"1982","journal-title":"Transactions of the American Mathematical Society"},{"key":"S0022481200030437_ref010","first-page":"321","article-title":"Lebesgue measurability implies Baire property","volume":"109","author":"Pawlikowski","year":"1985","journal-title":"Bulletin des Sciences Mathematiques"},{"key":"S0022481200030437_ref011","doi-asserted-by":"publisher","DOI":"10.1007\/BF02759764"},{"key":"S0022481200030437_ref005","volume-title":"S\u00e9minaire d'initiation \u00e0 l'analyse, 61","author":"Fremlin","year":"1985"},{"key":"S0022481200030437_ref001","doi-asserted-by":"publisher","DOI":"10.2307\/1999530"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200030437","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,22]],"date-time":"2019-05-22T03:08:41Z","timestamp":1558494521000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200030437\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1986,12]]},"references-count":14,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1986,12]]}},"alternative-id":["S0022481200030437"],"URL":"https:\/\/doi.org\/10.2307\/2273908","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1986,12]]}}}