{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,29]],"date-time":"2024-04-29T09:03:03Z","timestamp":1714381383780},"reference-count":15,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":8228,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1991,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We prove that in many situations it is consistent with ZFC that part of the invariants involved in Cicho\u0144's diagram are equal to <jats:italic>\u03ba<\/jats:italic> while the others are equal to <jats:italic>\u03bb<\/jats:italic>, where <jats:italic>\u03ba<\/jats:italic> &lt; <jats:italic>\u03bb<\/jats:italic> are both arbitrary regular uncountable cardinals. We extend some of these results to the case when <jats:italic>\u03bb<\/jats:italic> is singular. We also show that cf<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"png\" xlink:href=\"S0022481200023975_inline1.png\" \/> is consistent with ZFC.<\/jats:p>","DOI":"10.2178\/jsl\/1183743728","type":"journal-article","created":{"date-parts":[[2009,8,4]],"date-time":"2009-08-04T20:52:04Z","timestamp":1249419124000},"page":"795-810","source":"Crossref","is-referenced-by-count":3,"title":["Larger cardinals in Cicho\u0144's diagram"],"prefix":"10.1017","volume":"56","author":[{"given":"J\u00f6rg","family":"Brendle","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200023975_ref002","doi-asserted-by":"publisher","DOI":"10.4064\/fm-127-3-225-239"},{"key":"S0022481200023975_ref001","doi-asserted-by":"publisher","DOI":"10.2307\/1999530"},{"key":"S0022481200023975_ref006","unstructured":"Bartoszy\u0144ski T. , Ihoda J. [ Judah H. ], The Cichon diagram (to appear)."},{"key":"S0022481200023975_ref011","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-444-86580-9.50023-9"},{"key":"S0022481200023975_ref010","volume-title":"Set theory","author":"Kunen","year":"1980"},{"key":"S0022481200023975_ref009","doi-asserted-by":"publisher","DOI":"10.1007\/BF01630808"},{"key":"S0022481200023975_ref003","first-page":"828","volume":"54","author":"Bartoszy\u0144ski","year":"1989","journal-title":"On the cofinality of the smallest covering of the real line by meager sets"},{"key":"S0022481200023975_ref005","first-page":"719","volume":"54","author":"Bartoszy\u0144ski","year":"1989","journal-title":"The cofinality of cardinal invariants related to measure and category"},{"key":"S0022481200023975_ref007","first-page":"909","volume":"55","author":"Judah","year":"1990","journal-title":"The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing)"},{"key":"S0022481200023975_ref008","unstructured":"Judah H. and Shelah S. , Around random algebra (to appear)."},{"key":"S0022481200023975_ref012","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1981-0613787-2"},{"key":"S0022481200023975_ref004","unstructured":"Bartoszy\u0144ski T. and Ihoda J. , Jumping with random reals (to appear)."},{"key":"S0022481200023975_ref014","doi-asserted-by":"publisher","DOI":"10.1007\/BF02759764"},{"key":"S0022481200023975_ref015","first-page":"595","volume-title":"Logic Colloquium '76","author":"Truss","year":"1977"},{"key":"S0022481200023975_ref013","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1984-0735576-9"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200023975","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,22]],"date-time":"2023-03-22T10:34:34Z","timestamp":1679481274000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200023975\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,9]]},"references-count":15,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1991,9]]}},"alternative-id":["S0022481200023975"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1183743728","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,9]]}}}