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Maharam algebras and Cohen reals
Author(s):
Ilijas
Farah;
Boban
Velickovic
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2283-2290.
MSC (2000):
Primary 03Exx;
Secondary 28Axx
Posted:
February 2, 2007
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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.
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Additional Information:
Ilijas
Farah
Affiliation:
Department of Mathematics and Statistics, York University, 4700 Keele Street, North York, Ontario, Canada M3J 1P3
Address at time of publication:
Matematicki Institut, Kneza Mihaila 35, Beograd, Serbia and Montenegro
Email:
ifarah@mathstat.yorku.ca
Boban
Velickovic
Affiliation:
Equipe de Logique Mathématique, UFR de Mathématiques (case 7012), Université Denis-Diderot Paris 7, 2 place Jussieu, 75251 Paris Cedex 05, France
Address at time of publication:
Matematicki Institut, Kneza Mihaila 35, Beograd, Serbia and Montenegro
Email:
boban@logique.jussieu.fr
DOI:
10.1090/S0002-9939-07-08759-X
PII:
S 0002-9939(07)08759-X
Keywords:
Exhaustive submeasure,
Maharam algebra,
Cohen real
Received by editor(s):
March 8, 2006
Posted:
February 2, 2007
Additional Notes:
These results were obtained in December 2004 while the authors were visiting the E. Schrödinger Institute in Vienna. We would like to thank the Institute for providing hospitality and a stimulating environment. The first author was partially supported by NSERC
Communicated by:
Julia Knight
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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