# 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. arXiv: math/9308218 DOI: 10.1007/BF02761687 MR: 1244655 -
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} }