{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T18:18:30Z","timestamp":1648577910930},"reference-count":10,"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":649,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2012,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>After showing the downwards density of nonhemimaximal degrees, Downey and Stob continued to prove that the existence of a low<jats:sub>2<\/jats:sub>, but not low, nonhemimaximal degree, and their proof uses the fact that incomplete <jats:italic>m<\/jats:italic>-topped degrees are low<jats:sub>2<\/jats:sub> but not low. As commented in their paper, the construction of such a nonhemimaximal degree is actually a primitive 0\u2034 argument. In this paper, we give another construction of such degrees, which is a standard 0\u2033-argument, much simpler than Downey and Stob's construction mentioned above.<\/jats:p>","DOI":"10.2178\/jsl\/1333566631","type":"journal-article","created":{"date-parts":[[2012,4,4]],"date-time":"2012-04-04T19:26:53Z","timestamp":1333567613000},"page":"433-446","source":"Crossref","is-referenced-by-count":0,"title":["Nonhemimaximal degrees and the high\/low hierarchy"],"prefix":"10.1017","volume":"77","author":[{"given":"Fang","family":"Chengling","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wu","family":"Guohua","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200000670_ref003","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19930390151"},{"key":"S0022481200000670_ref005","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(92)90065-S"},{"key":"S0022481200000670_ref001","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1984-0719661-8"},{"key":"S0022481200000670_ref004","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19910370802"},{"key":"S0022481200000670_ref002","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1987-0879565-X"},{"key":"S0022481200000670_ref007","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19660120125"},{"key":"S0022481200000670_ref008","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1944-08111-1"},{"key":"S0022481200000670_ref010","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02460-7"},{"key":"S0022481200000670_ref006","doi-asserted-by":"crossref","first-page":"619","DOI":"10.1215\/ijm\/1256060420","article-title":"A hierarchy for cuppable degrees","volume":"44","author":"Li","year":"2000","journal-title":"Illinois Journal of Mathematics"},{"key":"S0022481200000670_ref009","doi-asserted-by":"publisher","DOI":"10.2307\/1970842"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200000670","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,25]],"date-time":"2019-04-25T20:46:30Z","timestamp":1556225190000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200000670\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,6]]},"references-count":10,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,6]]}},"alternative-id":["S0022481200000670"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1333566631","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,6]]}}}