Authors: Farah, Ilijas 
Veličković, Boban
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Maharam algebras and Cohen reals
Journal: Proceedings of the American Mathematical Society
Volume: 135
Issue: 7
First page: 2283
Last page: 2290
Issue Date: 1-Jul-2007
Rank: M22
ISSN: 0002-9939
DOI: 10.1090/S0002-9939-07-08759-X
Abstract: 
We show that the product of any two nonatomic Maharam algebras adds a Cohen real. As a corollary of this and a result of Shelah (1994) we obtain that the product of any two nonatomic ccc Souslin forcing notions adds a Cohen real.
Keywords: Cohen real | Exhaustive submeasure | Maharam algebra
Publisher: American Mathematical Society

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