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In the context of super-rosy theories of finite rank we conclude that non-trivial stable types of U<jats:sup>\u00fe<\/jats:sup>-rank 1 must arise from definable stable sets.<\/jats:p>","DOI":"10.2178\/jsl\/1286198144","type":"journal-article","created":{"date-parts":[[2010,10,4]],"date-time":"2010-10-04T13:16:13Z","timestamp":1286198173000},"page":"1211-1230","source":"Crossref","is-referenced-by-count":4,"title":["Stable types in rosy theories"],"prefix":"10.1017","volume":"75","author":[{"given":"Assaf","family":"Hasson","sequence":"first","affiliation":[]},{"given":"Alf","family":"Onshuus","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200002218_ref003","first-page":"215","volume":"69","author":"Dolich","year":"2004","journal-title":"Forking and independence in o-minimal theories"},{"key":"S0022481200002218_ref020","volume-title":"Classification theory and the number of nonisomorphic models","author":"Shelah","year":"1991"},{"key":"S0022481200002218_ref019","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-8622-1"},{"key":"S0022481200002218_ref016","unstructured":"Onshuus A. and Usvyatsov A. , Orthogonality and domination in unstable theories, available at http:\/\/arxiv.org\/abs\/0909.3753v1, 2009."},{"key":"S0022481200002218_ref014","first-page":"1","volume":"71","author":"Onshuus","year":"2006","journal-title":"Properties and consequences of thorn-independence"},{"key":"S0022481200002218_ref012","first-page":"330","volume":"44","author":"Lascar","year":"1979","journal-title":"An introduction to forking"},{"key":"S0022481200002218_ref011","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(87)90069-8"},{"key":"S0022481200002218_ref009","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-07-00558-9"},{"key":"S0022481200002218_ref013","unstructured":"Onshuus A. , Th-forking and rosy theories, Ph.D. thesis, University of California at Berkeley, 2002."},{"key":"S0022481200002218_ref007","volume-title":"Stable domination and independence in algebraically closed valued fields","volume":"30","author":"Haskell","year":"2008"},{"key":"S0022481200002218_ref001","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1988-0936825-2"},{"key":"S0022481200002218_ref010","unstructured":"Hrushovski E. and Pillay A. , On NIP and invariant measures, available on http:\/\/arxiv.org\/pdf\/0710.2330.pdf, 2008."},{"key":"S0022481200002218_ref006","first-page":"175","article-title":"Definable sets in algebraically closed valued fields: elimination of imaginarles","volume":"597","author":"Haskell","year":"2006","journal-title":"Journal f\u00fcr die Reine und Angewandte Mathematik"},{"key":"S0022481200002218_ref018","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198534372.001.0001","volume-title":"Geometric stability theory","volume":"32","author":"Pillay","year":"1996"},{"key":"S0022481200002218_ref021","first-page":"265","article-title":"Classification theory for elementary classes with the dependence property\u2014a modest beginning","volume":"59","author":"Shelah","year":"2004","journal-title":"Scientiae Mathematicae Japonicae"},{"key":"S0022481200002218_ref022","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-3002-0"},{"key":"S0022481200002218_ref015","doi-asserted-by":"publisher","DOI":"10.1002\/malq.200610046"},{"key":"S0022481200002218_ref008","unstructured":"Hrushovski E. , Valued fields, metastable groups, preprint, 2004."},{"key":"S0022481200002218_ref004","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2007.09.004"},{"key":"S0022481200002218_ref017","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(86)90044-8"},{"key":"S0022481200002218_ref005","first-page":"919","volume":"72","author":"Ealy","year":"2007","journal-title":"Characterizing rosy theories"},{"key":"S0022481200002218_ref002","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-99-02498-8"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200002218","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,30]],"date-time":"2024-03-30T22:24:26Z","timestamp":1711837466000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200002218\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,12]]},"references-count":22,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2010,12]]}},"alternative-id":["S0022481200002218"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1286198144","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,12]]}}}