{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T07:49:30Z","timestamp":1648972170413},"reference-count":7,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":1015,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2011,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We prove the following version of Hechler's classical theorem: For each partially ordered set (<jats:italic>Q<\/jats:italic>, \u2264) with the property that every countable subset of <jats:italic>Q<\/jats:italic> has a strict upper bound in <jats:italic>Q<\/jats:italic>, there is a ccc forcing notion such that in the generic extension for each tall analytic P-ideal <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200001936_inline1\" \/> (coded in the ground model) a cofinal subset of <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200001936_inline2\" \/> is order isomorphic to (<jats:italic>Q<\/jats:italic>, \u2264).<\/jats:p>","DOI":"10.2178\/jsl\/1305810773","type":"journal-article","created":{"date-parts":[[2011,5,19]],"date-time":"2011-05-19T13:18:58Z","timestamp":1305811138000},"page":"729-736","source":"Crossref","is-referenced-by-count":0,"title":["Hechler's Theorem for tall analytic P-ideals"],"prefix":"10.1017","volume":"76","author":[{"given":"Barnab\u00e1s","family":"Farkas","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200001936_ref004","volume-title":"Measure theory. Set-theoretic measure theory","author":"Fremlin","year":"2004"},{"key":"S0022481200001936_ref001","doi-asserted-by":"publisher","DOI":"10.1016\/j.topol.2003.08.028"},{"key":"S0022481200001936_ref006","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(98)00051-7"},{"key":"S0022481200001936_ref003","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-004-0224-4"},{"key":"S0022481200001936_ref005","doi-asserted-by":"publisher","DOI":"10.1090\/pspum\/013.2\/9987"},{"key":"S0022481200001936_ref002","doi-asserted-by":"publisher","DOI":"10.1007\/s001530050072"},{"key":"S0022481200001936_ref007","unstructured":"Soukup Lajos , Pcf theory and cardinal invariants of the reals, unpublished notes, 2001."}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200001936","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,27]],"date-time":"2019-04-27T08:30:14Z","timestamp":1556353814000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200001936\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,6]]},"references-count":7,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2011,6]]}},"alternative-id":["S0022481200001936"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1305810773","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,6]]}}}