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In this case<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201700058-math-0007.png\" xlink:title=\"urn:x-wiley:09425616:media:malq201700058:malq201700058-math-0007\"\/>is J\u00f3nsson, and in a choiceless inner model many properties hold that are in contrast with pcf theory in<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201700058-math-0008.png\" xlink:title=\"urn:x-wiley:09425616:media:malq201700058:malq201700058-math-0008\"\/>.<\/jats:p>","DOI":"10.1002\/malq.201700058","type":"journal-article","created":{"date-parts":[[2018,4,15]],"date-time":"2018-04-15T00:06:42Z","timestamp":1523750802000},"page":"118-132","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Generic at"],"prefix":"10.1002","volume":"64","author":[{"given":"Vincenzo","family":"Dimonte","sequence":"first","affiliation":[{"name":"Dipartimento di Scienze Matematiche, Informatiche e Fisiche Universit\u00e0 degli Studi di Udine via delle Scienze, 206 33100 Udine Italy"}]}],"member":"311","published-online":{"date-parts":[[2018,4,14]]},"reference":[{"key":"e_1_2_8_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(85)90092-1"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0219061315500014"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-011-0232-0"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2012.02.003"},{"key":"e_1_2_8_6_1","unstructured":"V.Dimonte and rank\u2010into\u2010rank axioms to appear in: Boll. 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