{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T02:28:04Z","timestamp":1648866484426},"reference-count":9,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":1288,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2010,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Let <jats:italic>E<\/jats:italic> be a coanalytic equivalence relation on a Polish space <jats:italic>X<\/jats:italic> and (<jats:italic>A<jats:sub>n<\/jats:sub><\/jats:italic>)<jats:sub>n\u2208\u03c9<\/jats:sub> a sequence of analytic subsets of <jats:italic>X<\/jats:italic>. We prove that if lim sup<jats:sub>n\u2208k<\/jats:sub>A<jats:sub>n<\/jats:sub> meets uncountably many <jats:italic>E<\/jats:italic>-equivalence classes for every <jats:italic>K<\/jats:italic> \u2208 [\u03c9]<jats:sup>\u03c9<\/jats:sup>, then there exists <jats:italic>K<\/jats:italic> \u2208 [\u03c9]<jats:sup>\u03c9<\/jats:sup> such that \u2229<jats:sub>n\u2208k<\/jats:sub>A<jats:sub>n<\/jats:sub> contains a perfect set of pairwise <jats:italic>E<\/jats:italic>-inequivalent elements.<\/jats:p>","DOI":"10.2178\/jsl\/1278682218","type":"journal-article","created":{"date-parts":[[2010,7,9]],"date-time":"2010-07-09T13:30:45Z","timestamp":1278682245000},"page":"1091-1101","source":"Crossref","is-referenced-by-count":1,"title":["The Laczkovich-Komj\u00e1th property for coanalytic equivalence relations"],"prefix":"10.1017","volume":"75","author":[{"given":"Su","family":"Gao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Steve","family":"Jackson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vincent","family":"Kieftenbeld","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200002565_ref009","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(80)90002-9"},{"key":"S0022481200002565_ref007","volume-title":"Analytic sets","author":"Martin","year":"1980"},{"key":"S0022481200002565_ref006","doi-asserted-by":"publisher","DOI":"10.1007\/BF02297692"},{"key":"S0022481200002565_ref003","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-07-04243-2"},{"key":"S0022481200002565_ref001","unstructured":"Balcerzak Marek and Gla\u0327b Szymon , On the Laczkovich-Komj\u00e1th property of sigma-ideals, preprint."},{"key":"S0022481200002565_ref008","volume-title":"Descriptive set theory","author":"Moschovakis","year":"1980"},{"key":"S0022481200002565_ref004","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-1990-1057041-5"},{"key":"S0022481200002565_ref002","volume-title":"Invariant descriptive set theory","author":"Gao","year":"2009"},{"key":"S0022481200002565_ref005","doi-asserted-by":"publisher","DOI":"10.1007\/BF01904778"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200002565","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,27]],"date-time":"2019-04-27T21:38:41Z","timestamp":1556401121000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200002565\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9]]},"references-count":9,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2010,9]]}},"alternative-id":["S0022481200002565"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1278682218","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,9]]}}}