### A model in which there are Jech-Kunen trees but there are no Kurepa trees

by Jin and Shelah. [JiSh:466]

Israel J Math, 1993

By an omega_1 --tree we mean a tree of power omega_1 and
height omega_1 . We call an omega_1 --tree a Jech--Kunen tree if
it has kappa --many branches for some kappa strictly between
omega_1 and 2^{omega_1} . In this paper we construct the models
of CH plus 2^{omega_1}> omega_2, in which there are Jech--Kunen
trees and there are no Kurepa trees.

Back to the list of publications