A model in which there are Jech-Kunen trees but there are no Kurepa trees
Renling Jin, Saharon Shelah
Abstract
By an omega1 --tree we mean a tree of power omega1 and height omega1. We call an omega1 --tree a Jech--Kunen tree if it has kappa --many branches for some kappa strictly between omega1 and 2omega1. In this paper we construct the models of CH plus 2omega1> omega2, in which there are Jech--Kunen trees and there are no Kurepa trees.
Create a lesson
Related papers
The universal measure of nonstochastic objects
Vladimir Vovk
Hyperarithmetic directions can all be exceptional for Marstrand's projection theorem
Noam Greenberg, Daniel Turetsky
Open Problems in Mathematical Logic
George Barmpalias, Su Gao, Jialiang He et al.
An easy proof that there may be no P-points
David Chodounský, Osvaldo Guzmán, Jonathan Verner
Comments on Choiceless Chain Conditions
Constance Bromham, Asaf Karagila
Localic Esakia Duality via Conic Frames
Nesta van der Schaaf