{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T09:22:47Z","timestamp":1772097767034,"version":"3.50.1"},"reference-count":5,"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:title>Abstract<\/jats:title><jats:p>It is consistent with \u00ac CH that every universal theory of relational structures with the joint embedding property and amalgamation for <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200025901_inline1\"\/><jats:sup>-<\/jats:sup>(3)-diagrams has a universal model of cardinality \u2135<jats:sub>1<\/jats:sub>. For classes with amalgamation for <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200025901_inline1\"\/><jats:sup>-<\/jats:sup>(4)-diagrams it is consistent that <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200025901_inline2\"\/> and there is a universal model of cardinality \u2135<jats:sub>2<\/jats:sub>.<\/jats:p>","DOI":"10.2307\/2274640","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T18:35:29Z","timestamp":1146940529000},"page":"466-477","source":"Crossref","is-referenced-by-count":12,"title":["Universal structures in power \u2135<sub>1<\/sub>"],"prefix":"10.1017","volume":"55","author":[{"given":"Alan H.","family":"Mekler","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200025901_ref001","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(76)90018-8"},{"key":"S0022481200025901_ref002","first-page":"830","volume":"49","author":"Mekler","year":"1984","journal-title":"C.c.c. forcing without combinatorics"},{"key":"S0022481200025901_ref005","unstructured":"Shelah S. , Universal graphs without instances of CH: revisited, preprint."},{"key":"S0022481200025901_ref004","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(84)90042-3"},{"key":"S0022481200025901_ref003","first-page":"563","volume":"45","author":"Shelah","year":"1980","journal-title":"Independence results"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200025901","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,18]],"date-time":"2019-05-18T17:13:58Z","timestamp":1558199638000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200025901\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,6]]},"references-count":5,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1990,6]]}},"alternative-id":["S0022481200025901"],"URL":"https:\/\/doi.org\/10.2307\/2274640","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,6]]}}}