{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T09:57:30Z","timestamp":1772445450627,"version":"3.50.1"},"reference-count":10,"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":466,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2012,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We consider VC-minimal theories admitting unpackable generating families, and show that in such theories, forking of formulae over a model <jats:italic>M<\/jats:italic> is equivalent to containment in global types definable over <jats:italic>M<\/jats:italic>, generalizing a result of Dolich on o-minimal theories in [4].<\/jats:p>","DOI":"10.2178\/jsl.7704110","type":"journal-article","created":{"date-parts":[[2012,11,2]],"date-time":"2012-11-02T19:23:52Z","timestamp":1351884232000},"page":"1257-1271","source":"Crossref","is-referenced-by-count":9,"title":["Forking in VC-minimal theories"],"prefix":"10.1017","volume":"77","author":[{"given":"Sarah","family":"Cotter","sequence":"first","affiliation":[]},{"given":"Sergei","family":"Starchenko","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200001213_ref007","first-page":"843","volume":"40","author":"Holly","year":"1995","journal-title":"Canonical forms for definable subsets of algebraically closed and real closed valued fields"},{"key":"S0022481200001213_ref006","unstructured":"Flenner J. and Guingona V. , Canonical forests in directed families, preprint, 2011."},{"key":"S0022481200001213_ref005","doi-asserted-by":"publisher","DOI":"10.1215\/00294527-1435456"},{"key":"S0022481200001213_ref010","article-title":"Additivity of the dp-rank","author":"Kaplan","journal-title":"Transactions of the American Mathematical Society"},{"key":"S0022481200001213_ref004","first-page":"215","volume":"69","author":"Dolich","year":"2004","journal-title":"Forking and independence in o-minimal theories"},{"key":"S0022481200001213_ref003","first-page":"1","volume":"77","author":"Chernikov","year":"2012","journal-title":"Forking and dividing in NTP2 theories"},{"key":"S0022481200001213_ref001","author":"Adler","year":"2008","journal-title":"Theories controlled by formulas of Vapnik\u2013Chervonenkis codimension"},{"key":"S0022481200001213_ref008","unstructured":"Hrushovski E. and Loeser F. , Non-archimedean tame topology and stably dominated types, preprint, 2011."},{"key":"S0022481200001213_ref002","volume-title":"Archive for Mathematical Logic","author":"Adler"},{"key":"S0022481200001213_ref009","doi-asserted-by":"publisher","DOI":"10.4171\/JEMS\/274"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200001213","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,24]],"date-time":"2019-04-24T21:27:51Z","timestamp":1556141271000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200001213\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,12]]},"references-count":10,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2012,12]]}},"alternative-id":["S0022481200001213"],"URL":"https:\/\/doi.org\/10.2178\/jsl.7704110","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,12]]}}}