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

Saharon Shelah; Renling Jin

doi:10.1007/BF02761687

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

Saharon Shelah, Renling Jin^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

By an ω₁-tree we mean a tree of power ω₁ and height ω₁. We call an ω₁-tree a Jech-Kunen tree if it has k-many branches for some k strictly between ω₁ and 2^ω1. In this paper we construct the models of CH plus 2^ω1 > ω₂, in which there are Jech-Kunen trees and there are no Kurepa trees.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Israel Journal of Mathematics
Volume	84
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02761687
State	Published - Feb 1993

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10.1007/BF02761687

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title = "A model in which there are Jech-Kunen trees but there are no Kurepa trees",

abstract = "By an ω1-tree we mean a tree of power ω1 and height ω1. We call an ω1-tree a Jech-Kunen tree if it has k-many branches for some k strictly between ω1 and 2ω1. In this paper we construct the models of CH plus 2ω1 > ω2, in which there are Jech-Kunen trees and there are no Kurepa trees.",

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AB - By an ω1-tree we mean a tree of power ω1 and height ω1. We call an ω1-tree a Jech-Kunen tree if it has k-many branches for some k strictly between ω1 and 2ω1. In this paper we construct the models of CH plus 2ω1 > ω2, in which there are Jech-Kunen trees and there are no Kurepa trees.

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

Abstract

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