{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T20:28:07Z","timestamp":1649104087686},"reference-count":2,"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":2384,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2007,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A version of the Erd\u0151s-Rado theorem on partitions of the unordered <jats:italic>n<\/jats:italic>-tuples from uncountable sets is proved, without using the axiom of choice. The case with exponent 1 is just the Sierpinski-Hartogs' result that <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200005120_inline1\" \/>.<\/jats:p>","DOI":"10.2178\/jsl\/1191333846","type":"journal-article","created":{"date-parts":[[2007,12,19]],"date-time":"2007-12-19T11:25:04Z","timestamp":1198063504000},"page":"897-900","source":"Crossref","is-referenced-by-count":0,"title":["Erd\u0151s-Rado without choice"],"prefix":"10.1017","volume":"72","author":[{"given":"Thomas","family":"Forster","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200005120_ref001","first-page":"363\u2013367","article-title":"Some set-theoretical properties of graphs","volume":"3","author":"Erd\u0151s","year":"1942","journal-title":"Revista Universidad Nacional de Tucuman, Serie A"},{"key":"S0022481200005120_ref002","first-page":"427\u2013498","volume-title":"The Bulletin of the American Mathematical Society","author":"Erd\u0151s","year":"1956"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200005120","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,1]],"date-time":"2019-05-01T17:20:40Z","timestamp":1556731240000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200005120\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,9]]},"references-count":2,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2007,9]]}},"alternative-id":["S0022481200005120"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1191333846","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,9]]}}}