{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T08:21:54Z","timestamp":1773390114364,"version":"3.50.1"},"reference-count":9,"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":7681,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1993,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>By \u212c<jats:sub>2<\/jats:sub> we denote the <jats:italic><jats:italic>\u03c3<\/jats:italic><\/jats:italic>-ideal of all subsets <jats:italic>A<\/jats:italic> of the Cantor set {0, 1}<jats:sup><jats:italic>\u03c9<\/jats:italic><\/jats:sup> such that for every infinite subset <jats:italic>T<\/jats:italic> of <jats:italic><jats:italic>\u03c9<\/jats:italic><\/jats:italic> the restriction <jats:italic>A<\/jats:italic>\u2223{0, 1}<jats:sup><jats:italic>T<\/jats:italic><\/jats:sup> is a proper subset of {0, 1}<jats:sup><jats:italic>T<\/jats:italic><\/jats:sup>. In this paper we investigate set theoretical properties of this and similar ideals.<\/jats:p>","DOI":"10.2307\/2275322","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T22:47:31Z","timestamp":1146955651000},"page":"42-54","source":"Crossref","is-referenced-by-count":8,"title":["Combinatorial properties of the ideal \u212c<sub>2<\/sub>"],"prefix":"10.1017","volume":"58","author":[{"given":"J.","family":"Cicho\u0144","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Ros\u0142anowski","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Steprans","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B.","family":"W\u0229glorz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200021617_ref009","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-21543-2"},{"key":"S0022481200021617_ref002","volume-title":"Proceedings of the Summer School in Set Theory","author":"Baumgartner","year":"1978"},{"key":"S0022481200021617_ref001","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(84)90024-1"},{"key":"S0022481200021617_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/BF02392416"},{"key":"S0022481200021617_ref003","volume-title":"Sem. d'Initiation a l'Analyse","author":"Fremlin"},{"key":"S0022481200021617_ref008","doi-asserted-by":"crossref","first-page":"159","DOI":"10.4064\/cm-59-2-159-168","article-title":"On Game Ideals","volume":"59","author":"Ros\u0142anowski","year":"1990","journal-title":"Colloquium Mathematicum"},{"key":"S0022481200021617_ref007","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/031\/763899"},{"key":"S0022481200021617_ref005","doi-asserted-by":"crossref","first-page":"71","DOI":"10.4064\/cm-20-1-71-76","article-title":"Some new ideals of subsets on the real line","volume":"20","author":"Mycielski","year":"1969","journal-title":"Colloquium Mathematicum"},{"key":"S0022481200021617_ref006","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(77)90006-7"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200021617","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,16]],"date-time":"2019-05-16T19:14:56Z","timestamp":1558034096000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200021617\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,3]]},"references-count":9,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1993,3]]}},"alternative-id":["S0022481200021617"],"URL":"https:\/\/doi.org\/10.2307\/2275322","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,3]]}}}