%0 Journal Article %T A model in which there are Jech-Kunen trees but there are no Kurepa trees %A Renling Jin %A Saharon Shelah %J Mathematics %D 1993 %I arXiv %X 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. %U http://arxiv.org/abs/math/9308218v1