{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,13]],"date-time":"2025-05-13T15:35:20Z","timestamp":1747150520087,"version":"3.40.5"},"reference-count":42,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2022,9,7]],"date-time":"2022-09-07T00:00:00Z","timestamp":1662508800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2022,11]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We study the effects of piece selection principles on cardinal arithmetic (Shelah style). As an application, we discuss questions of Abe and Usuba. In particular, we show that if , then (a)  is not (\u03bb, 2)\u2010distributive, and (b)  does not\u00a0hold.<\/jats:p>","DOI":"10.1002\/malq.202100033","type":"journal-article","created":{"date-parts":[[2022,9,7]],"date-time":"2022-09-07T13:24:10Z","timestamp":1662557050000},"page":"416-446","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Piece selection and cardinal arithmetic"],"prefix":"10.1002","volume":"68","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2563-2560","authenticated-orcid":false,"given":"Pierre","family":"Matet","sequence":"first","affiliation":[{"name":"Universit\u00e9 de Caen \u2013 CNRS Laboratoire de Math\u00e9matiques  BP 5186, 14032 Caen Cedex France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2022,9,7]]},"reference":[{"key":"e_1_2_12_2_1","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19970430409"},{"key":"e_1_2_12_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(77)90005-5"},{"key":"e_1_2_12_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-010-1138-9_5"},{"key":"e_1_2_12_5_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0022481200051720"},{"key":"e_1_2_12_6_1","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19850312503"},{"key":"e_1_2_12_7_1","doi-asserted-by":"publisher","DOI":"10.4064\/fm-128-3-181-195"},{"key":"e_1_2_12_8_1","doi-asserted-by":"publisher","DOI":"10.1142\/S021906130100003X"},{"key":"e_1_2_12_9_1","doi-asserted-by":"publisher","DOI":"10.4064\/fm-109-1-31-36"},{"key":"e_1_2_12_10_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02764635"},{"key":"e_1_2_12_11_1","doi-asserted-by":"publisher","DOI":"10.1017\/jsl.2013.3"},{"key":"e_1_2_12_12_1","first-page":"171","article-title":"Fragments of strong compactness, families of partitions and ideal extensions","volume":"234","author":"Fontanella L.","year":"2016","journal-title":"Fund. Math."},{"key":"e_1_2_12_13_1","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(91)90016-F"},{"key":"e_1_2_12_14_1","doi-asserted-by":"publisher","DOI":"10.2307\/2274018"},{"key":"e_1_2_12_15_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01903842"},{"key":"e_1_2_12_16_1","unstructured":"A.Landver Singular Baire Numbers and Related Topics Ph.D. Thesis(University of Wisconsin Madison 1990)."},{"key":"e_1_2_12_17_1","doi-asserted-by":"publisher","DOI":"10.2307\/2275450"},{"key":"e_1_2_12_18_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-1994-1249391-8"},{"key":"e_1_2_12_19_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(02)00083-0"},{"key":"e_1_2_12_20_1","doi-asserted-by":"publisher","DOI":"10.1002\/malq.200310067"},{"key":"e_1_2_12_21_1","doi-asserted-by":"publisher","DOI":"10.2969\/jmsj\/1145287097"},{"key":"e_1_2_12_22_1","doi-asserted-by":"publisher","DOI":"10.2178\/jsl\/1230396744"},{"key":"e_1_2_12_23_1","doi-asserted-by":"publisher","DOI":"10.4064\/fm205-1-3"},{"key":"e_1_2_12_24_1","doi-asserted-by":"publisher","DOI":"10.4064\/fm221-1-1"},{"key":"e_1_2_12_25_1","doi-asserted-by":"publisher","DOI":"10.1002\/malq.201600047"},{"key":"e_1_2_12_26_1","unstructured":"P.Matet Applications of pcf theory to the study of ideals onP\u03ba(\u03bb)$P_\\kappa (\\lambda )$ J. Symb. Log. to appear."},{"key":"e_1_2_12_27_1","unstructured":"P.Matet The Secret life of \u03bc\u2010clubs Ann. Pure Appl. Log. to appear."},{"key":"e_1_2_12_28_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2004.04.026"},{"key":"e_1_2_12_29_1","first-page":"89","article-title":"Cofinality of normal ideals on P\u03ba(\u03bb)$P_\\kappa (\\lambda )$ II","volume":"121","author":"Matet P.","year":"2003","journal-title":"Isr. J. Math."},{"key":"e_1_2_12_30_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-016-0496-5"},{"key":"e_1_2_12_31_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-05-04007-9"},{"key":"e_1_2_12_32_1","unstructured":"P.MatetandS.Shelah Positive partition relations forP\u03ba(\u03bb)$P_\\kappa (\\lambda )$ preprint."},{"key":"e_1_2_12_33_1","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(75)90009-1"},{"key":"e_1_2_12_34_1","doi-asserted-by":"publisher","DOI":"10.1142\/S021906130900080X"},{"key":"e_1_2_12_35_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-2080-7_25"},{"volume-title":"Oxford Logic Guides","year":"1994","author":"Shelah S.","key":"e_1_2_12_36_1"},{"key":"e_1_2_12_37_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02773223"},{"key":"e_1_2_12_38_1","doi-asserted-by":"publisher","DOI":"10.4064\/fm-161-3-325-329"},{"key":"e_1_2_12_39_1","doi-asserted-by":"publisher","DOI":"10.1090\/pspum\/025\/0379200"},{"key":"e_1_2_12_40_1","doi-asserted-by":"publisher","DOI":"10.4064\/cm-2-1-9-12"},{"key":"e_1_2_12_41_1","doi-asserted-by":"publisher","DOI":"10.2969\/jmsj\/06030935"},{"key":"e_1_2_12_42_1","doi-asserted-by":"publisher","DOI":"10.1002\/malq.201200003"},{"key":"e_1_2_12_43_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2011.12.017"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.202100033","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/full-xml\/10.1002\/malq.202100033","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.202100033","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,22]],"date-time":"2023-08-22T02:18:09Z","timestamp":1692670689000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.202100033"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9,7]]},"references-count":42,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2022,11]]}},"alternative-id":["10.1002\/malq.202100033"],"URL":"https:\/\/doi.org\/10.1002\/malq.202100033","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"type":"print","value":"0942-5616"},{"type":"electronic","value":"1521-3870"}],"subject":[],"published":{"date-parts":[[2022,9,7]]},"assertion":[{"value":"2021-06-29","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2022-06-23","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2022-09-07","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}