{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,12,14]],"date-time":"2022-12-14T15:29:01Z","timestamp":1671031741210},"reference-count":12,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":2933,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2006,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We investigate the set (<jats:italic>\u03c9<\/jats:italic>) of partitions of the natural numbers ordered by \u2264* where <jats:italic>A<\/jats:italic> \u2264* <jats:italic>B<\/jats:italic> if by gluing finitely many blocks of <jats:italic>A<\/jats:italic> we can get a partition coarser than <jats:italic>B<\/jats:italic>. In particular, we determine the values of a number of cardinals which are naturally associated with the structure ((<jats:italic>\u03c9<\/jats:italic>), \u2265*), in terms of classical cardinal invariants of the continuum.<\/jats:p>","DOI":"10.2178\/jsl\/1140641161","type":"journal-article","created":{"date-parts":[[2007,12,19]],"date-time":"2007-12-19T16:22:31Z","timestamp":1198081351000},"page":"22-34","source":"Crossref","is-referenced-by-count":5,"title":["Converse dual cardinals"],"prefix":"10.1017","volume":"71","author":[{"given":"J\u00f6rg","family":"Brendle","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shuguo","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200006332_ref012","first-page":"195","volume-title":"Open problems in topology","author":"Vaughan","year":"1990"},{"key":"S0022481200006332_ref008","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19980440109"},{"key":"S0022481200006332_ref003","volume-title":"Handbook of set theory","author":"Blass"},{"key":"S0022481200006332_ref007","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-444-86580-9.50006-9"},{"key":"S0022481200006332_ref002","doi-asserted-by":"publisher","DOI":"10.4064\/fm-114-2-149-157"},{"key":"S0022481200006332_ref004","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1521-3870(200005)46:2<241::AID-MALQ241>3.0.CO;2-M"},{"key":"S0022481200006332_ref001","doi-asserted-by":"publisher","DOI":"10.4064\/fm183-1-4"},{"key":"S0022481200006332_ref006","first-page":"959","volume":"65","author":"Cicho\u0144","year":"2000","journal-title":"Dualization of the van Douwen diagram"},{"key":"S0022481200006332_ref005","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(84)90026-4"},{"key":"S0022481200006332_ref011","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(97)00038-9"},{"key":"S0022481200006332_ref010","first-page":"12","volume":"51","author":"Matet","year":"1986","journal-title":"Partitions andfilters"},{"key":"S0022481200006332_ref009","first-page":"543","article-title":"Cardinal invariants of the lattice of partitions","volume":"41","author":"Majcher-Iwanow","year":"2000","journal-title":"Commentationes Mathematicae Universitatis Carolinae"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200006332","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T20:34:05Z","timestamp":1556829245000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200006332\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,3]]},"references-count":12,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,3]]}},"alternative-id":["S0022481200006332"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1140641161","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,3]]}}}