{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,26]],"date-time":"2023-10-26T05:40:39Z","timestamp":1698298839139},"reference-count":10,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":5064,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1993,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this paper we study some statements similar to the Partition Principle and the Trichotomy. We prove some relationships between these statements, the Axiom of Choice, and the Generalized Continuum Hypothesis. We also prove some independence results. MSC: 03E25, 03E50, 04A25, 04A50.<\/jats:p>","DOI":"10.1002\/malq.19930390104","type":"journal-article","created":{"date-parts":[[2007,6,3]],"date-time":"2007-06-03T01:47:57Z","timestamp":1180835277000},"page":"7-22","source":"Crossref","is-referenced-by-count":2,"title":["Weak Forms of the Axiom of Choice and the Generalized Continuum Hypothesis"],"prefix":"10.1002","volume":"39","author":[{"given":"Arthur L.","family":"Rubin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jean E.","family":"Rubin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.2307\/2273223"},{"key":"e_1_2_1_3_2","volume-title":"Set Theory and the Continuum Hypothesis","author":"Cohen P. J.","year":"1966"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(70)90012-4"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.4064\/fm-56-3-325-345"},{"key":"e_1_2_1_6_2","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0061160","volume-title":"Models of ZF Set Theory. Springer Lecture Notes in Mathematics","author":"Felgner U.","year":"1971"},{"key":"e_1_2_1_7_2","volume-title":"The Axiom of Choice","author":"Jech T. J.","year":"1973"},{"key":"e_1_2_1_8_2","doi-asserted-by":"crossref","first-page":"75","DOI":"10.4064\/fm-42-1-75-82","article-title":"\u00dcber eine Abschw\u00e4chung des Auswahlpostulates","volume":"42","author":"Kinna W.","year":"1955","journal-title":"Fund. Math."},{"key":"e_1_2_1_9_2","first-page":"585","article-title":"On some weak forms of the axiom of choice","volume":"26","author":"Pelc A.","year":"1978","journal-title":"Bull. Acad. Polon. Sci. S\u00e9r. Sci. Math."},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19740203105"},{"key":"e_1_2_1_11_2","volume-title":"Equivalents of the Axiom of Choice II","author":"Rubin H.","year":"1985"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19930390104","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19930390104","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,25]],"date-time":"2023-10-25T21:01:47Z","timestamp":1698267707000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19930390104"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,1]]},"references-count":10,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1993,1]]}},"alternative-id":["10.1002\/malq.19930390104"],"URL":"https:\/\/doi.org\/10.1002\/malq.19930390104","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,1]]}}}