Journal of Symbolic Logic

Uniformization Principles

Alan H. Mekler and Saharon Shelah

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Abstract

It is consistent that for many cardinals $\lambda$ there is a family of at least $\lambda^+$ unbounded subsets of $\lambda$ which have uniformization properties. In particular if it is consistent that a supercompact cardinal exists, then it is consistent that $\aleph_\omega$ has such a family. We have applications to point set topology, Whitehead groups and reconstructing separable abelian $p$-groups from their socles.

Article information

Source
J. Symbolic Logic, Volume 54, Issue 2 (1989), 441-459.

Dates
First available in Project Euclid: 6 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1183742916

Mathematical Reviews number (MathSciNet)
MR997878

Zentralblatt MATH identifier
0699.03028

JSTOR
links.jstor.org

Citation

Mekler, Alan H.; Shelah, Saharon. Uniformization Principles. J. Symbolic Logic 54 (1989), no. 2, 441--459. https://projecteuclid.org/euclid.jsl/1183742916


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