| 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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