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Maharam algebras and Cohen reals |
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| Authors: | Ilijas Farah Boban Velickovic |
| Institution: | Department of Mathematics and Statistics, York University, 4700 Keele Street, North York, Ontario, Canada M3J 1P3 ; Equipe de Logique Mathématique, UFR de Mathématiques (case 7012), Université Denis-Diderot Paris 7, 2 place Jussieu, 75251 Paris Cedex 05, France |
| 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: | Exhaustive submeasure Maharam algebra Cohen real |
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