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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Saturation of the weakly compact ideal

Author(s): Alex Hellsten
Journal: Proc. Amer. Math. Soc. 138 (2010), 3323-3334.
MSC (2010): Primary 03E55, 03E35
Posted: May 17, 2010
MathSciNet review: 2653962
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Abstract | References | Similar articles | Additional information

Abstract: It is consistent relative to a measurable cardinal of order $ \alpha$ that the ideal associated with a weakly compact cardinal of order $ \alpha$ is saturated.


References:

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James E. Baumgartner, Alan D. Taylor, and Stanley Wagon, On splitting stationary subsets of large cardinals, J. Symbolic Logic 42 (1977), no. 2, 203-214. MR 0505505 (58:21619)

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Moti Gitik and Saharon Shelah, Less saturated ideals, Proc. Amer. Math. Soc. 125 (1997), 1523-1530. MR 1363421 (97g:03055)

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Alex Hellsten, Diamonds on large cardinals, Ann. Acad. Sci. Fenn. Math. Diss. 134 (2003). MR 2026390 (2004j:03054)

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-, Orders of indescribable sets, Arch. Math. Logic 45 (2006), no. 6, 705-714. MR 2252250 (2007d:03092)

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Thomas Jech and W. Hugh Woodin, Saturation of the closed unbounded filter on the set of regular cardinals, Trans. Amer. Math. Soc. 292 (1985), no. 1, 345-356. MR 805967 (87d:03139)

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Additional Information:

Alex Hellsten
Affiliation: Finnish Matriculation Examination Board, P.O. Box 50, 00581 Helsinki, Finland
Email: alex.hellsten@iki.fi

DOI: 10.1090/S0002-9939-2010-10399-4
PII: S 0002-9939(2010)10399-4
Received by editor(s): October 27, 2006
Received by editor(s) in revised form: January 21, 2010
Posted: May 17, 2010
Communicated by: Julia Knight
Copyright of article: Copyright 2010, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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