Journal of Symbolic Logic

Two Consistency Results on Set Mappings

Peter Komjath and Saharon Shelah

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Abstract

It is consistent that there is a set mapping from the four-tuples of $\omega_n$ into the finite subsets with no free subsets of size t$_n$ for some natural number t$_n$. For any $n < \omega$ it is consistent that there is a set mapping from the pairs of $\omega_n$ into the finite subsets with no infinite free sets. For any $n < \omega$ it is consistent that there is a set mapping from the pairs of $\omega_n$ into $\omega_n$ with no uncountable free sets.

Article information

Source
J. Symbolic Logic, Volume 65, Issue 1 (2000), 333-338.

Dates
First available in Project Euclid: 6 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1183746024

Mathematical Reviews number (MathSciNet)
MR1782123

Zentralblatt MATH identifier
0948.03048

JSTOR
links.jstor.org

Citation

Komjath, Peter; Shelah, Saharon. Two Consistency Results on Set Mappings. J. Symbolic Logic 65 (2000), no. 1, 333--338. https://projecteuclid.org/euclid.jsl/1183746024


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