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

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

1993-08-15

arxiv.org/abs/math/9308218v1

Israel J. Math. 84 (1993), 1--16

Mathematics

Logic

Scientific paper

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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