{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T05:45:33Z","timestamp":1648619133777},"reference-count":17,"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":376,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2013,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The Axiom of Projective Determinacy implies the existence of a universal <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200000384_inline01\" \/> set for every <jats:italic>n<\/jats:italic> \u2265 1. Assuming <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200000384_inline02\" \/> there exists a universal <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200000384_inline03\" \/> set. In ZFC there is a universal <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200000384_inline04\" \/> set for every <jats:italic>\u03b1<\/jats:italic>.<\/jats:p>","DOI":"10.2178\/jsl.7801160","type":"journal-article","created":{"date-parts":[[2013,1,23]],"date-time":"2013-01-23T14:38:23Z","timestamp":1358951903000},"page":"237-244","source":"Crossref","is-referenced-by-count":0,"title":["Universal sets for pointsets properly on the <i>n<\/i><sup>th<\/sup> level of the projective hierarchy"],"prefix":"10.1017","volume":"78","author":[{"given":"Greg","family":"Hjorth","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Leigh","family":"Humphries","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arnold W.","family":"Miller","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200000384_ref013","unstructured":"Miller Arnold W. , Some interesting problems, http:\/\/www.math.wisc.edu\/~miller\/res\/problem.pdf."},{"key":"S0022481200000384_ref011","doi-asserted-by":"publisher","DOI":"10.2307\/1971035"},{"key":"S0022481200000384_ref009","volume-title":"Set theory. 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