Strong compactness and a partition property
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Abstract:
We show that if $\operatorname {Part}(\kappa ,\lambda )$ holds for every $\lambda \ge \kappa$, then $\kappa$ is strongly compact.References
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Additional Information
- Pierre Matet
- Affiliation: CNRS, Laboratoire de Mathématiques, Université de Caen, BP 5186, 14032 Caen Cedex, France
- Email: matet@math.unicaen.fr
- Received by editor(s): June 22, 2004
- Received by editor(s) in revised form: February 11, 2005
- Published electronically: December 19, 2005
- Communicated by: Carl G. Jockusch, Jr.
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2147-2152
- MSC (2000): Primary 03E02, 03E55
- DOI: https://doi.org/10.1090/S0002-9939-05-08206-7
- MathSciNet review: 2215786