Proceedings of the American Mathematical Society

Author(s): Bernhard Irrgang
Journal: Proc. Amer. Math. Soc. 137 (2009), 1103-1113.
MSC (2000): Primary 03E05, 03E35, 03E40
Posted: August 28, 2008
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Abstract: We introduce a method of constructing a forcing along a simplified $(\kappa,1)$ -morass such that the forcing satisfies the $\kappa$ -chain condition. Alternatively, this may be seen as a method to thin out a larger forcing to get a chain condition. As an application, we construct a ccc forcing that adds an $\omega_2$ -Suslin tree. Related methods are Shelah's historic forcing and Todorcevic's $\rho$ -functions.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 03E05, 03E35, 03E40

Bernhard Irrgang
Affiliation: Mathematisches Institut, Universität Bonn, Beringstrasse 1, 53115 Bonn, Germany

DOI: 10.1090/S0002-9939-08-09525-7
PII: S 0002-9939(08)09525-7
Received by editor(s): October 6, 2006,
Received by editor(s) in revised form: April 22, 2007, and February 1, 2008
Posted: August 28, 2008
Communicated by: Julia Knight
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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