Abstract
We use the method of norms on possibilities to answer a question of Kunen and construct a ccc σ–ideal on 2ω with various closure properties and distinct from the ideal of null sets, the ideal of meager sets and their intersection.

Editor-in-Chief: Liczberski, Piotr / Ciesielski, Krzysztof
Managing Editor: Gajek, Leslaw
2 Issues per year
Mathematical Citation Quotient 2011: 0.14
1Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel and Mathematical Institute of Wroclaw University, Pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland. roslanow@math.hu.ti.ac.il
2Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel and Department of Mathematics, Rutgers University, New Brunswick, Nj 08854, USA. shelah@math.huji.ac.il
Citation Information: Journal of Applied Analysis. Volume 3, Issue 1, Pages 103–127, ISSN (Online) 1869-6082, ISSN (Print) 1425-6908, DOI: 10.1515/JAA.1997.103, June 2010
We use the method of norms on possibilities to answer a question of Kunen and construct a ccc σ–ideal on 2ω with various closure properties and distinct from the ideal of null sets, the ideal of meager sets and their intersection.
Key words and phrases.: CCC σ–ideal; meager sets; null sets; norms of possibilities
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