{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T14:25:25Z","timestamp":1740147925315,"version":"3.37.3"},"reference-count":6,"publisher":"Wiley","issue":"6","license":[{"start":{"date-parts":[[2015,10,26]],"date-time":"2015-10-26T00:00:00Z","timestamp":1445817600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/100000001","name":"US NSF","doi-asserted-by":"crossref","award":["DMS-1201290"],"award-info":[{"award-number":["DMS-1201290"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11371203"],"award-info":[{"award-number":["11371203"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2015,11]]},"abstract":"<jats:p>We consider the equivalence relations on <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201500051-math-0003.png\" xlink:title=\"urn:x-wiley:09425616:media:malq201500051:malq201500051-math-0003\"\/> induced by the Banach subspaces <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201500051-math-0004.png\" xlink:title=\"urn:x-wiley:09425616:media:malq201500051:malq201500051-math-0004\"\/>. We show that if <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201500051-math-0005.png\" xlink:title=\"urn:x-wiley:09425616:media:malq201500051:malq201500051-math-0005\"\/>, then there is no Borel reduction from the equivalence relation <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201500051-math-0006.png\" xlink:title=\"urn:x-wiley:09425616:media:malq201500051:malq201500051-math-0006\"\/>, where <jats:italic>X<\/jats:italic> is a Banach space, to <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201500051-math-0007.png\" xlink:title=\"urn:x-wiley:09425616:media:malq201500051:malq201500051-math-0007\"\/>.<\/jats:p>","DOI":"10.1002\/malq.201500051","type":"journal-article","created":{"date-parts":[[2015,10,26]],"date-time":"2015-10-26T10:38:41Z","timestamp":1445855921000},"page":"516-523","source":"Crossref","is-referenced-by-count":2,"title":["A note on equivalence relations"],"prefix":"10.1002","volume":"61","author":[{"given":"Su","family":"Gao","sequence":"first","affiliation":[{"name":"Department of Mathematics University of North Texas 1155 Union Circle #311430 Denton TX 76203 United States of America"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhi","family":"Yin","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences Nankai University Tianjin 300071 People's Republic of China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2015,10,26]]},"reference":[{"key":"e_1_2_5_2_1","doi-asserted-by":"publisher","DOI":"10.2178\/jsl\/1327068700"},{"key":"e_1_2_5_3_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-99-02261-8"},{"key":"e_1_2_5_4_1","doi-asserted-by":"publisher","DOI":"10.1112\/S0024611500012636"},{"volume-title":"Mathematical Logic in Asia, Proceedings of the 9th Asian Logic Conference, Novorsibirsk, Russia, 16\u201319 August 2005","year":"2006","author":"Gao S.","key":"e_1_2_5_5_1"},{"key":"e_1_2_5_6_1","doi-asserted-by":"publisher","DOI":"10.2307\/2586545"},{"key":"e_1_2_5_7_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-06-08207-4"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.201500051","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.201500051","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.201500051","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,4]],"date-time":"2023-10-04T01:34:15Z","timestamp":1696383255000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.201500051"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10,26]]},"references-count":6,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2015,11]]}},"alternative-id":["10.1002\/malq.201500051"],"URL":"https:\/\/doi.org\/10.1002\/malq.201500051","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"type":"print","value":"0942-5616"},{"type":"electronic","value":"1521-3870"}],"subject":[],"published":{"date-parts":[[2015,10,26]]}}}