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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Forcing a mutual stationarity property in cofinality $ \omega_1$


Author: Peter Koepke
Journal: Proc. Amer. Math. Soc. 135 (2007), 1523-1533
MSC (2000): Primary 03E35; Secondary 03E02
Published electronically: November 13, 2006
MathSciNet review: 2276663
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Abstract: We show that the consistency strength, relative to the system $ \operatorname{ZFC}$, of the mutual stationarity property $ \operatorname{MS} (\aleph_3,\aleph_5, \aleph_7, \ldots ; \omega_1 )$ is equal to the existence of one measurable cardinal. We also discuss mutual stationarity for some other configurations of small cardinal parameters.


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Additional Information

Peter Koepke
Affiliation: Mathematisches Institut, Universität Bonn, Beringstraße 1, D 53115 Bonn, Germany
Email: koepke@math.uni-bonn.de

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08598-4
PII: S 0002-9939(06)08598-4
Received by editor(s): October 13, 2005
Received by editor(s) in revised form: December 6, 2005
Published electronically: November 13, 2006
Communicated by: Julia Knight
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.