{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T04:24:43Z","timestamp":1759638283445},"reference-count":13,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":1472,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2010,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In [9] we have considered a wide class of \u201cwell-behaved\u201d reducibilities for sets of reals. In this paper we continue with the study of Borel reducibilities by proving a dichotomy theorem for the degree-structures induced by good Borel reducibilities. This extends and improves the results of [9] allowing to deal with a larger class of notions of reduction (including, among others, the Baire class \u03be functions).<\/jats:p>","DOI":"10.2178\/jsl\/1264433924","type":"journal-article","created":{"date-parts":[[2010,1,25]],"date-time":"2010-01-25T10:38:59Z","timestamp":1264415939000},"page":"323-345","source":"Crossref","is-referenced-by-count":7,"title":["Baire reductions and good Borel reducibilities"],"prefix":"10.1017","volume":"75","author":[{"given":"Luca Motto","family":"Ros","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S002248120000298X_ref012","unstructured":"Wadge William W. , Reductibility and determinateness on the Baire space, Ph.D. thesis, University of California at Berkeley, 1983."},{"key":"S002248120000298X_ref010","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-98-00269-0"},{"key":"S002248120000298X_ref009","first-page":"27","volume":"74","author":"Ros","year":"2009","journal-title":"Borel-amenable reducibilities for sets of reals"},{"key":"S002248120000298X_ref008","first-page":"29","article-title":"A new characterization of Baire class 1 functions","volume":"34","author":"Ros","year":"2008","journal-title":"Real Analysis Exchange"},{"key":"S002248120000298X_ref007","unstructured":"Ros Luca Motto , General reducibilities for sets of reals, Ph.D. thesis, Polytechnic of Turin, Italy, 2007."},{"key":"S002248120000298X_ref005","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3975(02)00567-4"},{"key":"S002248120000298X_ref003","first-page":"1","volume-title":"Foundations ofthe Formal Sciences V: Infinite Games","volume":"11","author":"Andretta","year":"2007"},{"key":"S002248120000298X_ref002","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2006.05.008"},{"key":"S002248120000298X_ref011","volume-title":"Cabal Seminar '76-'77","volume":"689","author":"Solovay","year":"1978"},{"key":"S002248120000298X_ref004","doi-asserted-by":"publisher","DOI":"10.4064\/fm177-2-5"},{"key":"S002248120000298X_ref013","volume-title":"Cabal Seminar '76-'77","volume":"689","author":"van Wesep","year":"1978"},{"key":"S002248120000298X_ref006","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4190-4"},{"key":"S002248120000298X_ref001","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(03)00022-8"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S002248120000298X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,28]],"date-time":"2019-04-28T16:37:43Z","timestamp":1556469463000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S002248120000298X\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,3]]},"references-count":13,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,3]]}},"alternative-id":["S002248120000298X"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1264433924","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,3]]}}}