JSTOR: Journal of Symbolic Logic: Vol. 49, No. 1, pp. 298-300

A Minimal Degree Which Collapses $\omega_1$

Tim Carlson, Kenneth Kunen, Arnold W. Miller

Journal of Symbolic Logic, Vol. 49, No. 1. (Mar., 1984), pp. 298-300.

Abstract

We consider a well-known partial order of Prikry for producing a collapsing function of minimal degree. Assuming $MA + \neq CH$, every new real constructs the collapsing map.