Characterizing the spectra of cardinalities of branches of Kurepa trees

Abstract

We give a complete characterization of the sets of cardinals that in a suitable forcing extension can be the Kurepa spectrum, that is, the set of cardinalities of branches of Kurepa trees. This answers a question of the first named author.

References in corpus (1)

• Kurepa trees and spectra of ${\mathcal{L}}_{{\omega }_1,\omega }$-sentences