## Journal of Symbolic Logic

### Where Ma First Fails

Kenneth Kunen

#### Abstract

If $\theta$ is any singular cardinal of cofinality $\omega_1$, we produce a forcing extension in which MA holds below $\theta$ but fails at $\theta$. The failure is due to a partial order which splits a gap of size $\theta$ in $\mathscr{P}(\omega)$.

#### Article information

Source
J. Symbolic Logic, Volume 53, Issue 2 (1988), 429-433.

Dates
First available in Project Euclid: 6 July 2007

https://projecteuclid.org/euclid.jsl/1183742633

Mathematical Reviews number (MathSciNet)
MR947850

Zentralblatt MATH identifier
0681.03036

JSTOR