{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T22:35:52Z","timestamp":1649111752651},"reference-count":8,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":5671,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1998,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Before one can construct scales of minimal complexity in the Real Core Model, <jats:italic>K<\/jats:italic>(\u211d), one needs to develop the fine-structure theory of <jats:italic>K<\/jats:italic> (\u211d). In this paper, the fine structure theory of mice, first introduced by Dodd and Jensen, is generalized to that of <jats:italic>real mice<\/jats:italic>. A relative criterion for mouse iterability is presented together with two theorems concerning the definability of this criterion. The proof of the first theorem requires only fine structure; whereas, the second theorem applies to real mice satisfying AD and follows from a general definability result obtained by abstracting work of John Steel on <jats:italic>L<\/jats:italic>(\u211d). In conclusion, we discuss several consequences of the work presented in this paper relevant to two issues: the complexity of scales in <jats:italic>K<\/jats:italic>(\u211d)and the strength of the theory ZF + AD + \u2510DC<jats:sub>\u211d<\/jats:sub>.<\/jats:p>","DOI":"10.2307\/2586721","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T14:01:28Z","timestamp":1146924088000},"page":"937-994","source":"Crossref","is-referenced-by-count":3,"title":["The fine structure of real mice"],"prefix":"10.1017","volume":"63","author":[{"given":"Daniel W.","family":"Cunningham","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200014687_ref002","unstructured":"Cunningham D. W. , Scales and the fine structure of K(\u211d), in preparation."},{"key":"S0022481200014687_ref007","volume-title":"Descriptive set theory","author":"Moschovakis","year":"1980"},{"key":"S0022481200014687_ref001","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(98)00003-7"},{"key":"S0022481200014687_ref006","volume-title":"Set theory","author":"Jech","year":"1980"},{"key":"S0022481200014687_ref005","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(81)90011-5"},{"key":"S0022481200014687_ref004","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511600586"},{"key":"S0022481200014687_ref008","volume-title":"Cabal seminar 79\u201381","author":"Steel","year":"1983"},{"key":"S0022481200014687_ref003","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(94)00023-V"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200014687","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,10]],"date-time":"2019-05-10T16:21:00Z","timestamp":1557505260000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200014687\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,9]]},"references-count":8,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1998,9]]}},"alternative-id":["S0022481200014687"],"URL":"https:\/\/doi.org\/10.2307\/2586721","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,9]]}}}