The tree property at ℵω+2-Reference-Cited by-同舟云学术

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The tree property at ℵω+2

Published:2011-06 Issue:2 Volume:76 Page:477-490
ISSN:0022-4812
Container-title:The Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Friedman Sy-David,Halilović Ajdin

Abstract

AbstractAssuming the existence of a weakly compact hypermeasurable cardinal we prove that in some forcing extension ℵω is a strong limit cardinal and ℵω+2 has the tree property. This improves a result of Matthew Foreman (see [2]).

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference7 articles.

1. Perfect-set forcing for uncountable cardinals

2. Aronszajn trees on ℵ2 and ℵ3

3. The Tree Property

4. The consistency strength of the tree property at the double successor of a measurable cardina

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1. Indestructibility of some compactness principles over models of PFA;Annals of Pure and Applied Logic;2024-01

2. The tree property at double successors of singular cardinals of uncountable cofinality with infinite gaps;Annals of Pure and Applied Logic;2021-01

3. The tree property at first and double successors of singular cardinals with an arbitrary gap;Annals of Pure and Applied Logic;2020-05

4. The tree property at $\aleph _{\omega +2}$ with a finite gap;Fundamenta Mathematicae;2020

5. The tree property at the double successor of a singular cardinal with a larger gap;Annals of Pure and Applied Logic;2018-06

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