Authors: Farah, Ilijas 
Zapletal, Jindřich
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Between Maharam's and von Neumann's problems
Journal: Mathematical Research Letters
Volume: 11
Issue: 5-6
First page: 673
Last page: 684
Issue Date: 1-Jan-2004
Rank: M21
ISSN: 1073-2780
DOI: 10.4310/MRL.2004.v11.n5.a10
Abstract: 
In the context of definable algebras Maharam's and von Neumann's problems essentially coincide. Consequently, random forcing is the only definable ccc forcing adding a single real that does not make the ground model reals null, and the only pairs of definable ccc σ-ideals with the Fubini property are (meager,meager) and (null,null).
Publisher: International Press

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