## Journal of Symbolic Logic

### Two Consistency Results on Set Mappings

#### 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

https://projecteuclid.org/euclid.jsl/1183746024

Mathematical Reviews number (MathSciNet)
MR1782123

Zentralblatt MATH identifier
0948.03048

JSTOR