{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T16:38:55Z","timestamp":1775839135853,"version":"3.50.1"},"reference-count":3,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":4667,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2001,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We show there is a non-recursive r.e. set <jats:italic>A<\/jats:italic> such that if <jats:italic>W<\/jats:italic> is any low r.e. set. then the join <jats:italic>W<\/jats:italic> \u2295 <jats:italic>A<\/jats:italic> is also low. That is. <jats:italic>A<\/jats:italic> is \u201calmost deep\u201d. This answers a question of Joekusch. The almost deep degrees form an definable ideal in the r.e. degrees (with jump.)<\/jats:p>","DOI":"10.2307\/2695051","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T14:05:52Z","timestamp":1146924352000},"page":"881-901","source":"Crossref","is-referenced-by-count":10,"title":["An almost deep degree"],"prefix":"10.1017","volume":"66","author":[{"given":"Peter","family":"Cholak","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marcia","family":"Groszek","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Theodore","family":"Slaman","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200011075_ref003","first-page":"376","volume":"54","author":"Lempp","year":"1989","journal-title":"A limit on relative genericity in the recursively enumerable sets"},{"key":"S0022481200011075_ref001","unstructured":"Bickford M. and Mills C. F. , Lowness properties of r.e. sets, to appear."},{"key":"S0022481200011075_ref002","doi-asserted-by":"publisher","DOI":"10.1006\/aima.1996.0033"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200011075","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,7]],"date-time":"2019-05-07T20:21:29Z","timestamp":1557260489000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200011075\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,6]]},"references-count":3,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2001,6]]}},"alternative-id":["S0022481200011075"],"URL":"https:\/\/doi.org\/10.2307\/2695051","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,6]]}}}