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On the Uniqueness of Measure and Category σ-Ideals on 2ω

  • P. Zakrzewski
Published/Copyright: June 9, 2010

Abstract

We prove that if a pair 〈I, J〉 of ccc, translation invariant σ-ideals on 2ω has the Fubini Property, then I = J. This leads to a slightly improved exposition of a part of the Farah-Zapletal proof of an invariant version of their theorem which characterizes the measure and category σ-ideals on 2ω as essentially the only ccc definable σ-ideals with Fubini Property.

Received: 2006-09-25
Revised: 2007-06-04
Published Online: 2010-06-09
Published in Print: 2007-December

© Heldermann Verlag

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