{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T20:33:52Z","timestamp":1775853232112,"version":"3.50.1"},"reference-count":4,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":8137,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1991,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>It is consistent that there exists a set mapping <jats:italic>F<\/jats:italic>: [<jats:italic>\u03c9<\/jats:italic><jats:sub>2<\/jats:sub>]<jats:sup>2<\/jats:sup> \u2192 [<jats:italic>\u03c9<\/jats:italic><jats:sub>2<\/jats:sub>]<jats:sup>&lt;<jats:italic>\u03c9<\/jats:italic><\/jats:sup> such that <jats:italic>F(\u03b1,\u03b2)<\/jats:italic> \u2286 <jats:italic>\u03b1<\/jats:italic> for <jats:italic>\u03b1 &lt; \u03b2 &lt; \u03c9<\/jats:italic><jats:sub>2<\/jats:sub> and there is no infinite free subset for <jats:italic>F<\/jats:italic>. This solves a problem of A. Hajnal and A. M\u00e1t\u00e9.<\/jats:p>","DOI":"10.2307\/2275484","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T22:42:28Z","timestamp":1146955348000},"page":"1400-1402","source":"Crossref","is-referenced-by-count":1,"title":["A set mapping with no infinite free subsets"],"prefix":"10.1017","volume":"56","author":[{"given":"P.","family":"Komj\u00e1th","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200023707_ref004","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(87)90015-7"},{"key":"S0022481200023707_ref002","doi-asserted-by":"publisher","DOI":"10.1007\/BF02023868"},{"key":"S0022481200023707_ref003","first-page":"347","volume-title":"Logic Colloquium 73","author":"Hajnal","year":"1975"},{"key":"S0022481200023707_ref001","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(87)90077-7"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200023707","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T19:59:15Z","timestamp":1558123155000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200023707\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,12]]},"references-count":4,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1991,12]]}},"alternative-id":["S0022481200023707"],"URL":"https:\/\/doi.org\/10.2307\/2275484","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,12]]}}}