{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T18:15:20Z","timestamp":1648750520025},"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":6493,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1996,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We address the classification of the possible finitely-additive probability measures on the Boolean algebra of definable subsets of <jats:italic>M<\/jats:italic> which are invariant under the natural action of <jats:italic>Aut(M)<\/jats:italic>. This pursuit requires a generalization of Shelah's forking formulas [8] to \u201cessentially measure zero\u201d sets and an application of Myer's \u201crank diagram\u201d [5] of the Boolean algebra under consideration. The classification is completed for a large class of \u2135<jats:sub>0<\/jats:sub>-categorical structures without the independence property including those which are stable.<\/jats:p>","DOI":"10.2307\/2275680","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T18:58:29Z","timestamp":1146941909000},"page":"640-652","source":"Crossref","is-referenced-by-count":0,"title":["Automorphism\u2013invariant measures on \u2135<sub>0<\/sub>-categorical structures without the independence property"],"prefix":"10.1017","volume":"61","author":[{"given":"Douglas E.","family":"Ensley","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200017473_ref007","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(80)90009-1"},{"key":"S0022481200017473_ref003","volume-title":"Model theory","author":"Chang","year":"1990"},{"key":"S0022481200017473_ref004","unstructured":"Ensley D. , Measures on \u21350-categorical structures, Ph.D. thesis , Carnegie-Mellon University, 1993, Ph.D. thesis."},{"key":"S0022481200017473_ref005","volume-title":"Handbook of Boolean algebras","author":"Myers","year":"1989"},{"key":"S0022481200017473_ref002","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-07330-8"},{"key":"S0022481200017473_ref001","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/50.3.417"},{"key":"S0022481200017473_ref008","volume-title":"Classification theory and the number of non-isomorphic models","author":"Shelah","year":"1990"},{"key":"S0022481200017473_ref006","volume-title":"An introduction to stability theory","author":"Pillay","year":"1983"},{"key":"S0022481200017473_ref009","doi-asserted-by":"publisher","DOI":"10.1007\/BF02017500"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200017473","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,12]],"date-time":"2019-05-12T17:28:32Z","timestamp":1557682112000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200017473\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,6]]},"references-count":9,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1996,6]]}},"alternative-id":["S0022481200017473"],"URL":"https:\/\/doi.org\/10.2307\/2275680","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,6]]}}}