{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T04:32:57Z","timestamp":1648960377343},"reference-count":11,"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":284,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2013,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We work under the assumption of the Axiom of Determinacy and associate a measure to each cardinal <jats:italic>\u03ba<\/jats:italic> &lt; \u2135 <jats:sub>\u03b50<\/jats:sub> in a recursive definition of a <jats:italic>canonical measure assignment<\/jats:italic>. We give algorithmic applications of the existence of such a canonical measure assignment (computation of cofinalities, computation of the Kleinberg sequences associated to the normal ultrafilters on all projective ordinals).<\/jats:p>","DOI":"10.2178\/jsl.7802040","type":"journal-article","created":{"date-parts":[[2013,5,15]],"date-time":"2013-05-15T10:11:08Z","timestamp":1368612668000},"page":"403-424","source":"Crossref","is-referenced-by-count":1,"title":["Canonical measure assignments"],"prefix":"10.1017","volume":"78","author":[{"given":"Steve","family":"Jackson","sequence":"first","affiliation":[]},{"given":"Benedikt","family":"L\u00f6we","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200000062_ref003","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0084974"},{"key":"S0022481200000062_ref006","unstructured":"Jackson Steve and Khafizov Farid T. , Descriptions and cardinals below , this Journal, to appear."},{"key":"S0022481200000062_ref002","volume-title":"Universal algebra","author":"Gr\u00e4tzer","year":"1968"},{"key":"S0022481200000062_ref008","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0069296"},{"key":"S0022481200000062_ref010","doi-asserted-by":"publisher","DOI":"10.4064\/fm171-1-4"},{"key":"S0022481200000062_ref005","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4020-5764-9_22"},{"key":"S0022481200000062_ref009","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0069385"},{"key":"S0022481200000062_ref001","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/425\/08115"},{"key":"S0022481200000062_ref011","volume-title":"Descriptive set theory","volume":"100","author":"Moschovakis","year":"1980"},{"key":"S0022481200000062_ref004","doi-asserted-by":"publisher","DOI":"10.1090\/memo\/0670"},{"key":"S0022481200000062_ref007","volume-title":"The higher infinite, large cardinals in set theory from their beginnings","author":"Kanamori","year":"1994"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200000062","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,23]],"date-time":"2019-04-23T17:39:52Z","timestamp":1556041192000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200000062\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,6]]},"references-count":11,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2013,6]]}},"alternative-id":["S0022481200000062"],"URL":"https:\/\/doi.org\/10.2178\/jsl.7802040","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,6]]}}}