{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,31]],"date-time":"2025-12-31T16:25:43Z","timestamp":1767198343124,"version":"build-2238731810"},"reference-count":11,"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":9507,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1988,3]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    An r.e. degree\n                    <jats:bold>a<\/jats:bold>\n                    \u2260\n                    <jats:bold>0<\/jats:bold>\n                    ,\n                    <jats:bold>0<\/jats:bold>\n                    \u2032 is called strongly noncappable if it has no inf with any incomparable r.e. degree. We show the existence of a high strongly noncappable degree.\n                  <\/jats:p>","DOI":"10.2307\/2274436","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T18:24:27Z","timestamp":1146939867000},"page":"174-187","source":"Crossref","is-referenced-by-count":2,"title":["A high strongly noncappable degree"],"prefix":"10.1017","volume":"53","author":[{"given":"Steffen","family":"Lempp","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200029017_bib005","doi-asserted-by":"publisher","DOI":"10.2307\/1970393"},{"key":"S0022481200029017_bib002","unstructured":"[Cota] Cooper, S. B. , A jump class of noncappable degrees, this Journal (to appear)."},{"key":"S0022481200029017_bib006","first-page":"359","volume-title":"Symposium on the theory of models","author":"Shoenfield","year":"1965"},{"key":"S0022481200029017_bib008","first-page":"1","volume-title":"Recursion theory: its generalizations and applications (proceedings of Logic Colloquium \u201979","volume":"45","author":"Soare","year":"1980"},{"key":"S0022481200029017_bib007","unstructured":"[Shta] Shore, R. A. , A noninversion theorem for the jump operator, Annals of Pure and Applied Logic (to appear)."},{"key":"S0022481200029017_bib003","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-16.1.537"},{"key":"S0022481200029017_bib011","first-page":"159","volume":"31","author":"Yates","year":"1966","journal-title":"A minimal pair of recursively enumerable degrees"},{"key":"S0022481200029017_bib009","doi-asserted-by":"publisher","DOI":"10.1090\/pspum\/042\/791052"},{"key":"S0022481200029017_bib001","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1090\/S0002-9947-1984-0737882-5","article-title":"On pairs of recursively enumerable degrees","volume":"283","author":"Ambos-Spies","year":"1984","journal-title":"Transactions of the American Mathematical Society"},{"key":"S0022481200029017_bib004","doi-asserted-by":"crossref","first-page":"211","DOI":"10.2307\/1970214","article-title":"On the degrees less than 0\u2032","volume":"77","author":"Sacks","year":"1963","journal-title":"Annals of Mathematics"},{"key":"S0022481200029017_bib010","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02460-7"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200029017","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,22]],"date-time":"2023-03-22T06:38:24Z","timestamp":1679467104000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200029017\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1988,3]]},"references-count":11,"aliases":["10.1017\/s0022481200029017"],"journal-issue":{"issue":"1","published-print":{"date-parts":[[1988,3]]}},"alternative-id":["S0022481200029017"],"URL":"https:\/\/doi.org\/10.2307\/2274436","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1988,3]]}}}