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A weak variation of shelah's I[ω2]

Published online by Cambridge University Press:  12 March 2014

William J. Mitchell
William J. Mitchell*
Affiliation:
Department of Mathematics, P.O. Box 118105, University of Florida, Gainesville, Florida 32611-8105, USA, E-mail: [email protected], URL: http://www.math.ufl.edu/~mitchell
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Abstract

We use a κ+-Mahlo cardinal to give a forcing construction of a model in which there is no sequence ⟨ Aβ : β < ω2 ⟩ of sets of cardinality ω1 such that

is stationary.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 69 , Issue 1 , March 2004 , pp. 94 - 100
Copyright
Copyright © Association for Symbolic Logic 2004

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References

REFERENCES

[1]Baumgartner, James E., Taylor, Alan D., and Wagon, Stanley, On splitting stationary subsets of large cardinals, this Journal, vol. 42 (1977), pp. 203–214.Google Scholar
[2]Harrington, Leo and Shelah, Saharon, Some exact equiconsistency results in set theory, Notre Dame Journal of Formal Logic, vol. 26 (1985), pp. 178–188.CrossRefGoogle Scholar
[3]Jech, Thomas, Stationary subsets of inaccessible cardinals, Axiomatic set theory (Boulder, Colorado, 1983), Contemporary Mathematics, vol. 31, American Mathematical Society, Providence, RI, 1984, pp. 115–142.Google Scholar
[4]Mitchell, William, Aronszajn trees and the independence of the transfer property, Annals of Mathematical Logic, vol. 5 (1972/1973), pp. 21–46.Google Scholar
[5]Shelah, Saharon, Reflecting stationary sets and successors of singular cardinals. Archive of Mathematical Logic, vol. 31 (1991), pp. 25–53.CrossRefGoogle Scholar