{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,18]],"date-time":"2023-10-18T14:40:07Z","timestamp":1697640007922},"reference-count":22,"publisher":"Wiley","issue":"6","license":[{"start":{"date-parts":[[2003,9,9]],"date-time":"2003-09-09T00:00:00Z","timestamp":1063065600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2003,11]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Given a regular infinite cardinal <jats:italic>\u03ba<\/jats:italic> and a cardinal <jats:italic>\u03bb<\/jats:italic> &gt; <jats:italic>\u03ba<\/jats:italic>, we study fine ideals <jats:italic>H<\/jats:italic> on <jats:italic>P<\/jats:italic><jats:sub><jats:italic>\u03ba<\/jats:italic><\/jats:sub>(<jats:italic>\u03bb<\/jats:italic>) that satisfy the square brackets partition relation <jats:styled-content>$ H^{+} {\\mathop \\rightarrow \\limits^{\\kappa}} [H^{+}]^{2}_{\\mu} $<\/jats:styled-content>, where <jats:italic>\u03bc<\/jats:italic> is a cardinal \u22652. (\u00a9 2003 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/malq.200310067","type":"journal-article","created":{"date-parts":[[2003,9,11]],"date-time":"2003-09-11T13:20:26Z","timestamp":1063286426000},"page":"615-628","source":"Crossref","is-referenced-by-count":2,"title":["A partition property of a mixed type for <i>P<sub>\u03ba<\/sub><\/i>(<i>\u03bb<\/i>)"],"prefix":"10.1002","volume":"49","author":[{"given":"Pierre","family":"Matet","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2003,9,9]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.2307\/2047618"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/s001530050071"},{"key":"e_1_2_1_4_2","unstructured":"J. E.Baumgartner Ineffability properties of cardinals I. In : Infinite and Finite Sets (A. Hajnal R. Rado and V. T. S\u00f3s eds.) Colloquia Mathematica Societatis J\u00e1nos Bolyai vol. 10 pp. 109\u2013130 (North\u2010Holland Publ. Comp. Amsterdam 1975)."},{"key":"e_1_2_1_5_2","doi-asserted-by":"crossref","unstructured":"J. E.Baumgartner Ineffability properties of cardinals II. In: Logic Foundations of Mathematics and Computability Theory (R. E. Butts and J. Hintikka eds.) The University of Western Ontario Series in Philosophy and Science vol. 9 pp. 87\u2013106 (Reidel Dordrecht 1977).","DOI":"10.1007\/978-94-010-1138-9_5"},{"key":"e_1_2_1_6_2","first-page":"1","article-title":"Structural properties of ideals","volume":"197","author":"Baumgartner J. E.","year":"1982","journal-title":"Dissertationes Mathematicae (Rozprawy Matematyczne)"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1142\/S021906130100003X"},{"key":"e_1_2_1_8_2","doi-asserted-by":"crossref","unstructured":"K. J.Devlin Constructibility (Springer Berlin et al. 1984)","DOI":"10.1007\/978-3-662-21723-8"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.2307\/2047349"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(72)90001-0"},{"key":"e_1_2_1_11_2","unstructured":"A.Kanamori The Higher Infinite (Springer Berlin et al. 1994)."},{"key":"e_1_2_1_12_2","unstructured":"A.Kanamori The Higher Infinite II. Preprint."},{"key":"e_1_2_1_13_2","unstructured":"J. P.Levinski On the principle$ {\\bar \\diamond}^{\\ast}_{\\kappa \\lambda} (F) $. Unpublished."},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.4064\/fm171-3-4"},{"key":"e_1_2_1_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(02)00083-0"},{"key":"e_1_2_1_16_2","unstructured":"P.Matet C.P\u00e9an andS.Shelah Cofinality of normal ideals onP\u03ba(\u03bb) I. Preprint."},{"key":"e_1_2_1_17_2","unstructured":"P.Matet C.P\u00e9an andS.Shelah Cofinality of normal ideals onP\u03ba(\u03bb) II. Israel J. Math. (to appear)."},{"key":"e_1_2_1_18_2","doi-asserted-by":"publisher","DOI":"10.1007\/s001530200140"},{"key":"e_1_2_1_19_2","unstructured":"P.Matet andS.Shelah Positive partition relations forP\u03ba(\u03bb). Preprint."},{"key":"e_1_2_1_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(75)90009-1"},{"key":"e_1_2_1_21_2","doi-asserted-by":"crossref","first-page":"101","DOI":"10.4064\/fm-84-2-101-106","article-title":"Square bracket partition relations in L","volume":"84","author":"Shore R. A.","year":"1974","journal-title":"Fund. Math."},{"key":"e_1_2_1_22_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02392561"},{"key":"e_1_2_1_23_2","unstructured":"S.Todorcevic Coherent sequences. In: Handbook of Set Theory (M. Foreman A. Kanamori and M. Magidor eds.). 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