Easton's theorem for the tree property below ℵ

Annals of Pure and Applied Logic 172 (7):102974 (2021)
  Copy   BIBTEX

Abstract

This article has no associated abstract. (fix it)

Categories

Keywords

Reprint years

DOI

10.1016/j.apal.2021.102974

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,881

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

The internal consistency of Easton’s theorem.Sy-David Friedman & Pavel Ondrejovič - 2008 - Annals of Pure and Applied Logic 156 (2):259-269.
Fragility and indestructibility of the tree property.Spencer Unger - 2012 - Archive for Mathematical Logic 51 (5-6):635-645.
An Easton theorem for level by level equivalence.Arthur W. Apter - 2005 - Mathematical Logic Quarterly 51 (3):247-253.
Theorem 1 (Easton's Theorem). There is a forcing extension L [G] of L in which GCH fails at every regular cardinal. Assume that the universe V of all sets is rich in the sense that it contains inner models with large cardinals. Then what is the relationship between Easton's model L [G] and V? In particular, are these models compatible. [REVIEW]Sy-David Friedman - 2006 - Bulletin of Symbolic Logic 12 (4).
Reverse mathematics and Ramsey's property for trees.Jared Corduan, Marcia J. Groszek & Joseph R. Mileti - 2010 - Journal of Symbolic Logic 75 (3):945-954.
Indestructibility of the tree property.Radek Honzik & Šárka Stejskalová - 2020 - Journal of Symbolic Logic 85 (1):467-485.
The tree property and the continuum function below.Radek Honzik & Šárka Stejskalová - 2018 - Mathematical Logic Quarterly 64 (1-2):89-102.
The tree property at the double successor of a singular cardinal with a larger gap.Sy-David Friedman, Radek Honzik & Šárka Stejskalová - 2018 - Annals of Pure and Applied Logic 169 (6):548-564.
The strong tree property and the failure of SCH.Jin Du - 2019 - Archive for Mathematical Logic 58 (7-8):867-875.
Weak partition properties on trees.Michael Hrušák, Petr Simon & Ondřej Zindulka - 2013 - Archive for Mathematical Logic 52 (5-6):543-567.
The differences between Kurepa trees and Jech-Kunen trees.Renling Jin - 1993 - Archive for Mathematical Logic 32 (5):369-379.
Backwards Easton forcing and 0#. [REVIEW]M. C. Stanley - 1988 - Journal of Symbolic Logic 53 (3):809 - 833.
The two-property and condensed detachment.J. A. Kalman - 1982 - Studia Logica 41 (2-3):173 - 179.
Aronszajn and Kurepa trees.James Cummings - 2018 - Archive for Mathematical Logic 57 (1-2):83-90.
A preservation theorem for theories without the tree property of the first kind.Jan Dobrowolski & Hyeungjoon Kim - 2017 - Mathematical Logic Quarterly 63 (6):536-543.

Analytics

Added to PP
2021-04-07

Downloads
22 (#709,216)

6 months
7 (#430,521)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Set Theory.Thomas Jech - 1999 - Studia Logica 63 (2):300-300.
Aronszajn trees on ℵ2 and ℵ3.Uri Abraham - 1983 - Annals of Mathematical Logic 24 (3):213-230.
The tree property up to אω+1.Itay Neeman - 2014 - Journal of Symbolic Logic 79 (2):429-459.
Aronszajn trees and the successors of a singular cardinal.Spencer Unger - 2013 - Archive for Mathematical Logic 52 (5-6):483-496.

View all 19 references / Add more references