{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,13]],"date-time":"2025-05-13T15:35:18Z","timestamp":1747150518235,"version":"3.40.5"},"reference-count":11,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2022,5,7]],"date-time":"2022-05-07T00:00:00Z","timestamp":1651881600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["EXC 2044\u2010390685587"],"award-info":[{"award-number":["EXC 2044\u2010390685587"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2022,8]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Assume . Let \u03ba be a cardinal. A <jats:italic>\u2010ground<\/jats:italic>\nis a transitive proper class <jats:italic>W<\/jats:italic> modelling  such that <jats:italic>V<\/jats:italic> is a generic extension of <jats:italic>W<\/jats:italic> via a forcing  of cardinality . The \u03ba<jats:italic>\u2010mantle<\/jats:italic>  is the intersection of all \u2010grounds. We prove that certain partial choice principles in  are the consequence of \u03ba being inaccessible\/weakly compact, and some other related\u00a0facts.<\/jats:p>","DOI":"10.1002\/malq.202000089","type":"journal-article","created":{"date-parts":[[2022,5,8]],"date-time":"2022-05-08T02:11:05Z","timestamp":1651975865000},"page":"264-278","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Choice principles in local mantles"],"prefix":"10.1002","volume":"68","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3197-8197","authenticated-orcid":false,"given":"Farmer","family":"Schlutzenberg","sequence":"first","affiliation":[{"name":"Fachbereich Mathematik und Informatik WWU M\u00fcnster, Einsteinstra\u00dfe 62 48149 M\u00fcnster Germany"}]}],"member":"311","published-online":{"date-parts":[[2022,5,7]]},"reference":[{"key":"e_1_2_5_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-015-0458-3"},{"key":"e_1_2_5_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2014.11.004"},{"volume-title":"Set Theory: The Third Millennium Edition, revised and expanded","year":"2003","author":"Jech T.","key":"e_1_2_5_4_1"},{"key":"e_1_2_5_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2007.07.002"},{"key":"e_1_2_5_6_1","unstructured":"A.Lietz The Axiom of Choice can fail in the<\u03ba${\\mathord {&lt;}\\hspace{1.111pt}\\kappa }$\u2010mantle Preprint."},{"key":"e_1_2_5_7_1","unstructured":"G.Sargsyan R.Schindler andF.Schlutzenberg Varsovian models II arXiv:2110.12051."},{"key":"e_1_2_5_8_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-017-0585-0"},{"key":"e_1_2_5_9_1","unstructured":"R.Schindler From set theoretic to inner model theoretic geology Preprint 2020."},{"key":"e_1_2_5_10_1","unstructured":"F.Schlutzenberg Local mantles ofL[x]$L[x]$ arXiv:2103.12925."},{"key":"e_1_2_5_11_1","doi-asserted-by":"publisher","DOI":"10.1142\/S021906131750009X"},{"key":"e_1_2_5_12_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-018-0625-4"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.202000089","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/full-xml\/10.1002\/malq.202000089","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.202000089","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,23]],"date-time":"2023-08-23T22:43:11Z","timestamp":1692830591000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.202000089"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,5,7]]},"references-count":11,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2022,8]]}},"alternative-id":["10.1002\/malq.202000089"],"URL":"https:\/\/doi.org\/10.1002\/malq.202000089","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"type":"print","value":"0942-5616"},{"type":"electronic","value":"1521-3870"}],"subject":[],"published":{"date-parts":[[2022,5,7]]},"assertion":[{"value":"2020-12-19","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2022-01-05","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2022-05-07","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}