{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,11]],"date-time":"2023-10-11T06:10:21Z","timestamp":1697004621884},"reference-count":6,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":3603,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1997,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We prove that a Spector\u2010like ultrapower extension \ud835\udd11 of a countable Solovay model \ud835\udd10 (where all sets of reals are Lebesgue measurable) is equal to the set of all sets constructible from reals in a generic extension \ud835\udd10[<jats:italic>a<\/jats:italic>], where <jats:italic>a<\/jats:italic> is a random real over \ud835\udd10. The proof involves the Solovay almost everywhere uniformization technique.<\/jats:p>","DOI":"10.1002\/malq.19970430311","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T16:20:34Z","timestamp":1180455634000},"page":"389-395","source":"Crossref","is-referenced-by-count":0,"title":["On a Spector Ultrapower for the Solovay Model"],"prefix":"10.1002","volume":"43","author":[{"given":"Vladimir","family":"Kanovei","sequence":"first","affiliation":[]},{"given":"Michiel","family":"van Lambalgen","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","volume-title":"Another construction of choiceless ultrapower","author":"Kanovei V.","year":"1994"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.2307\/2275368"},{"key":"e_1_2_1_4_2","first-page":"227","volume-title":"Logic: From Foundations to Applications","author":"van Lambalgen M.","year":"1996"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.2307\/1970696"},{"key":"e_1_2_1_6_2","doi-asserted-by":"crossref","first-page":"1208","DOI":"10.2307\/2274614","article-title":"Ultrapowers without the axiom of choice","volume":"53","author":"Spector M.","year":"1988","journal-title":"J. Symbolic Logic"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.2307\/2274701"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19970430311","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19970430311","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,10]],"date-time":"2023-10-10T05:37:36Z","timestamp":1696916256000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19970430311"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,1]]},"references-count":6,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1997,1]]}},"alternative-id":["10.1002\/malq.19970430311"],"URL":"https:\/\/doi.org\/10.1002\/malq.19970430311","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,1]]}}}