{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T18:02:11Z","timestamp":1698602531128},"reference-count":3,"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":7862,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1992,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This paper answers some questions of D. Ross in [R]. In \u00a71, we show that some consequences of the \u2135<jats:sub>1<\/jats:sub>- or \u2135<jats:sub>1<\/jats:sub>-special model axiom in [R] cannot be proved by the <jats:italic>\u03ba<\/jats:italic>-isomorphism property for any cardinal <jats:italic>\u03ba<\/jats:italic>. In \u00a72, we show that with one exception, the \u2135<jats:sub>0<\/jats:sub>-isomorphism property does imply the remaining consequences of the special model axiom in [R]. In \u00a73, we improve a result in [R] by showing that the <jats:italic>\u03ba<\/jats:italic>-special model axiom is equivalent to the \u2135<jats:sub>0<\/jats:sub>-special model axiom plus <jats:italic>\u03ba<\/jats:italic>-saturation.<\/jats:p>","DOI":"10.2307\/2275443","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T22:45:35Z","timestamp":1146955535000},"page":"975-987","source":"Crossref","is-referenced-by-count":7,"title":["The isomorphism property versus the special model axiom"],"prefix":"10.1017","volume":"57","author":[{"given":"Renling","family":"Jin","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200022477_ref002","first-page":"717","volume":"39","author":"Henson","year":"1974","journal-title":"The isomorphism property in nonstandard analysis and its use in the theory of Banach space"},{"key":"S0022481200022477_ref003","first-page":"1233","volume":"55","author":"Ross","year":"1990","journal-title":"The special model axiom in nonstandard analysis"},{"key":"S0022481200022477_ref001","volume-title":"Model theory","author":"Chang","year":"1973"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200022477","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,16]],"date-time":"2019-05-16T21:01:14Z","timestamp":1558040474000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200022477\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,9]]},"references-count":3,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1992,9]]}},"alternative-id":["S0022481200022477"],"URL":"https:\/\/doi.org\/10.2307\/2275443","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,9]]}}}