{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,9]],"date-time":"2025-11-09T07:34:13Z","timestamp":1762673653603},"reference-count":12,"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":2841,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2006,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We prove several trichotomy results for ideals of compact sets. Typically, we show that a \u201csufficiently rich\u201d universally Baire ideal is either \u03a0<jats:sub arrange=\"stack\">3<\/jats:sub><jats:sup arrange=\"stack\">0<\/jats:sup>-hard. or \u03a3<jats:sub arrange=\"stack\">3<\/jats:sub><jats:sup arrange=\"stack\">0<\/jats:sup>-hard. or else a \u03c3-ideal.<\/jats:p>","DOI":"10.2178\/jsl\/1146620160","type":"journal-article","created":{"date-parts":[[2007,12,19]],"date-time":"2007-12-19T16:22:51Z","timestamp":1198081371000},"page":"586-598","source":"Crossref","is-referenced-by-count":2,"title":["Trichotomies for ideals of compact sets"],"prefix":"10.1017","volume":"71","author":[{"given":"\u00c9.","family":"Matheron","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Solecki","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Zelen\u00fd","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200006228_ref010","first-page":"1877","volume-title":"Annates de l'Institut Fourier","volume":"54","author":"Solecki","year":"2004"},{"key":"S0022481200006228_ref009","doi-asserted-by":"publisher","DOI":"10.4064\/fm185-2-1"},{"key":"S0022481200006228_ref011","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0096295"},{"key":"S0022481200006228_ref008","doi-asserted-by":"crossref","first-page":"181","DOI":"10.4064\/fm-158-2-181-194","article-title":"How to recognize a true set","volume":"158","author":"Matheron","year":"1998","journal-title":"Fundamenta Mathematical"},{"key":"S0022481200006228_ref007","first-page":"263","article-title":"The structure of \u03c3-ideals of compact sets","volume":"301","author":"Kechris","year":"1987","journal-title":"Transactions of the American Mathematical Society"},{"key":"S0022481200006228_ref006","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511758850"},{"key":"S0022481200006228_ref005","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4190-4"},{"key":"S0022481200006228_ref002","volume-title":"Topology and Borel structure","volume":"10","author":"Christensen","year":"1974"},{"key":"S0022481200006228_ref001","doi-asserted-by":"publisher","DOI":"10.4064\/cm-86-2-203-207"},{"key":"S0022481200006228_ref012","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(94)90029-9"},{"key":"S0022481200006228_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/BF02772948"},{"key":"S0022481200006228_ref003","doi-asserted-by":"publisher","DOI":"10.5802\/aif.1105"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200006228","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,31]],"date-time":"2021-08-31T00:54:04Z","timestamp":1630371244000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200006228\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,6]]},"references-count":12,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2006,6]]}},"alternative-id":["S0022481200006228"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1146620160","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,6]]}}}