# Sh:466

• Jin, R., & Shelah, S. (1993). A model in which there are Jech-Kunen trees but there are no Kurepa trees. Israel J. Math., 84(1-2), 1–16.
• Abstract:
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.
• Version 1993-08-29_10 (14p) published version (16p)
Bib entry
@article{Sh:466,
author = {Jin, Renling and Shelah, Saharon},
title = {{A model in which there are Jech-Kunen trees but there are no Kurepa trees}},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {84},
number = {1-2},
year = {1993},
pages = {1--16},
issn = {0021-2172},
mrnumber = {1244655},
mrclass = {03E05 (03E35)},
doi = {10.1007/BF02761687},
note = {\href{https://arxiv.org/abs/math/9308218}{arXiv: math/9308218}},
arxiv_number = {math/9308218}
}