{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,9,13]],"date-time":"2022-09-13T05:41:07Z","timestamp":1663047667696},"reference-count":6,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Math. Log."],"published-print":{"date-parts":[[2019,12]]},"abstract":"<jats:p>We prove that the null ideal restricted to a non-null set of reals could be isomorphic to a variety of sigma ideals. Using this, we show that the following are consistent: (1) There is a non-null subset of plane each of whose non-null subsets contains three collinear points. (2) There is a partition of a non-null set of reals into null sets, each of size [Formula: see text], such that every transversal of this partition is null.<\/jats:p>","DOI":"10.1142\/s0219061319500089","type":"journal-article","created":{"date-parts":[[2019,2,26]],"date-time":"2019-02-26T03:00:00Z","timestamp":1551150000000},"page":"1950008","source":"Crossref","is-referenced-by-count":0,"title":["On possible restrictions of the null ideal"],"prefix":"10.1142","volume":"19","author":[{"given":"Ashutosh","family":"Kumar","sequence":"first","affiliation":[{"name":"Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J Safra Campus, Givat Ram, Jerusalem 91904, Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Saharon","family":"Shelah","sequence":"additional","affiliation":[{"name":"Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J Safra Campus, Givat Ram, Jerusalem 91904, Israel"},{"name":"Department of Mathematics, Rutgers, The State University of New Jersey, Hill Center-Busch Campus, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2019,10,2]]},"reference":[{"key":"S0219061319500089BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4020-5764-9_8"},{"key":"S0219061319500089BIB004","doi-asserted-by":"publisher","DOI":"10.2307\/2048161"},{"key":"S0219061319500089BIB005","doi-asserted-by":"publisher","DOI":"10.2307\/2048664"},{"key":"S0219061319500089BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2017.10.008"},{"key":"S0219061319500089BIB008","doi-asserted-by":"crossref","first-page":"109","DOI":"10.4064\/fm-166-1-2-109-136","volume":"166","author":"Shelah S.","year":"2000","journal-title":"Fund. Math."},{"key":"S0219061319500089BIB009","doi-asserted-by":"publisher","DOI":"10.4064\/fm179-2-1"}],"container-title":["Journal of Mathematical Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219061319500089","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,12]],"date-time":"2022-09-12T16:02:42Z","timestamp":1662998562000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219061319500089"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,10,2]]},"references-count":6,"journal-issue":{"issue":"02","published-print":{"date-parts":[[2019,12]]}},"alternative-id":["10.1142\/S0219061319500089"],"URL":"https:\/\/doi.org\/10.1142\/s0219061319500089","relation":{},"ISSN":["0219-0613","1793-6691"],"issn-type":[{"value":"0219-0613","type":"print"},{"value":"1793-6691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,10,2]]}}}