Journal of Applied Analysis EMIS ELibM Electronic Journals Journal of Applied Analysis
Vol. 3, No. 1, pp. 103-128 (2003)

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Norms on possibilities II: more ccc ideals on $\can$

A. Roslanowski and S. Shelah

Andrzej Roslanowski
Institute 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.huji.ac.il
Saharon Shelah
Institute 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

Abstract: We use the method of {\em norms on possibilities} to answer a question of Kunen and construct a ccc $\sigma$-ideal on $\can$ with various closure properties and distinct from the ideal of null sets, the ideal of meager sets and their intersection.

Keywords: CCC $\sigma$-ideal, meager sets, null sets, norms of possibilities

Classification (MSC2000): 03E05, 03E15; 28A05, 54H05

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Electronic version published on: 12 Jun 2003. This page was last modified: 12 Jun 2003.

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