## Journal of Symbolic Logic

### Independence of Strong Partition Relation for Small Cardinals, and the Free-Subset Problem

Saharon Shelah

#### Abstract

We prove the independence of a strong partition relation on $\aleph_\omega$, answering a question of Erdos and Hajnal. We then give an almost complete answer to the free subset problem.

#### Article information

Source
J. Symbolic Logic, Volume 45, Issue 3 (1980), 505-509.

Dates
First available in Project Euclid: 6 July 2007

https://projecteuclid.org/euclid.jsl/1183740616

Mathematical Reviews number (MathSciNet)
MR583369

Zentralblatt MATH identifier
0453.03052

JSTOR