{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T08:39:44Z","timestamp":1648715984897},"reference-count":6,"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":1197,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2010,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We construct a high c.e. degree which is not the join of two minimal degrees and so refute Posner's conjecture that every high c.e. degree is the join of two minimal degrees. Additionally, the proof shows that there is a high c.e. degree <jats:italic>a<\/jats:italic> such that for any splitting of <jats:italic>a<\/jats:italic> into degrees <jats:italic>b<\/jats:italic> and <jats:italic>c<\/jats:italic> one of these degrees bounds a 1-generic degree.<\/jats:p>","DOI":"10.2178\/jsl\/1286198150","type":"journal-article","created":{"date-parts":[[2010,10,4]],"date-time":"2010-10-04T13:16:13Z","timestamp":1286198173000},"page":"1339-1358","source":"Crossref","is-referenced-by-count":0,"title":["A high c.e. degree which is not the join of two minimal degrees"],"prefix":"10.1017","volume":"75","author":[{"given":"Matthew B.","family":"Giorgi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200002279_ref006","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511629181.003"},{"key":"S0022481200002279_ref004","unstructured":"Posner David B. , Minimal degrees and high degrees, an unpublished paper, 1976."},{"key":"S0022481200002279_ref001","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0067135"},{"key":"S0022481200002279_ref002","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1977-105-5"},{"key":"S0022481200002279_ref003","first-page":"715","volume":"43","author":"Jockusch","year":"1978","journal-title":"Double jumps of minimal degrees"},{"key":"S0022481200002279_ref005","unstructured":"Posner David B. , High degrees, Ph.D. thesis, University of California, Berkeley, 1977."}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200002279","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,27]],"date-time":"2019-04-27T20:36:58Z","timestamp":1556397418000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200002279\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,12]]},"references-count":6,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2010,12]]}},"alternative-id":["S0022481200002279"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1286198150","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,12]]}}}