{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,12,20]],"date-time":"2023-12-20T16:32:58Z","timestamp":1703089978759},"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":1015,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2011,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We show that there is a complete, consistent Borel theory which has no \u201cBorel model\u201d in the following strong sense: There is no structure satisfying the theory for which the elements of the structure are equivalence classes under some Borel equivalence relation and the interpretations of the relations and function symbols are uniformly Borel.<\/jats:p><jats:p>We also investigate Borel isomorphisms between Borel structures.<\/jats:p>","DOI":"10.2178\/jsl\/1305810759","type":"journal-article","created":{"date-parts":[[2011,5,19]],"date-time":"2011-05-19T13:18:58Z","timestamp":1305811138000},"page":"461-476","source":"Crossref","is-referenced-by-count":5,"title":["Borel structures and Borel theories"],"prefix":"10.1017","volume":"76","author":[{"given":"Greg","family":"Hjorth","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andr\u00e9","family":"Nies","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200001791_ref005","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4190-4"},{"key":"S0022481200001791_ref007","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0079689"},{"key":"S0022481200001791_ref006","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-37732-0"},{"key":"S0022481200001791_ref001","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511735264"},{"key":"S0022481200001791_ref002","first-page":"147","volume-title":"Logic Colloquium '80 (Prague, 1980)","volume":"108","author":"Harrington","year":"1982"},{"key":"S0022481200001791_ref003","first-page":"297","volume-title":"Handbook on set theory","author":"Hjorth"},{"key":"S0022481200001791_ref004","first-page":"110","volume-title":"Proceedings of the 19th IEEE symposium on Logic in Computer Science","author":"Hjorth","year":"2008"},{"key":"S0022481200001791_ref008","volume-title":"Proceedings of the workshop on effective models of the uncountable, 2009","author":"Montalb\u00e1n"},{"key":"S0022481200001791_ref009","first-page":"579","volume-title":"Model-theoretic logics","author":"Steinhorn","year":"1985"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200001791","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,27]],"date-time":"2019-04-27T08:30:39Z","timestamp":1556353839000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200001791\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,6]]},"references-count":9,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2011,6]]}},"alternative-id":["S0022481200001791"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1305810759","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,6]]}}}