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.

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