The strong tree property and weak square

&
Mathematical Logic Quarterly 63 (1-2):150-154 (2017)
  Copy   BIBTEX

Abstract

We show that it is consistent, relative to ω many supercompact cardinals, that the super tree property holds at for all but there are weak square and a very good scale at.

Categories

Add categories

Keywords

Reprint years

DOI

10.1002/malq.201600009

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,031

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 Strong and Super Tree Properties at Successors of Singular Cardinals.William Adkisson - forthcoming - Journal of Symbolic Logic:1-33.
The tree property and the failure of the Singular Cardinal Hypothesis at ℵω2.Dima Sinapova - 2012 - Journal of Symbolic Logic 77 (3):934-946.
The tree property and the continuum function below.Radek Honzik & Šárka Stejskalová - 2018 - Mathematical Logic Quarterly 64 (1-2):89-102.
On weak square, approachability, the tree property, and failures of SCH in a choiceless context.Arthur W. Apter - 2020 - Mathematical Logic Quarterly 66 (1):115-120.
The tree property and the failure of SCH at uncountable cofinality.Dima Sinapova - 2012 - Archive for Mathematical Logic 51 (5-6):553-562.
A cofinality-preserving small forcing may introduce a special Aronszajn tree.Assaf Rinot - 2009 - Archive for Mathematical Logic 48 (8):817-823.
The tree property at ℵ ω+1.Dima Sinapova - 2012 - Journal of Symbolic Logic 77 (1):279-290.
MRP , tree properties and square principles.Remi Strullu - 2011 - Journal of Symbolic Logic 76 (4):1441-1452.
The tree property at [image].Dima Sinapova - 2012 - Journal of Symbolic Logic 77 (1):279 - 290.
Strong tree properties for small cardinals.Laura Fontanella - 2013 - Journal of Symbolic Logic 78 (1):317-333.

Analytics

Added to PP
2017-03-26

Downloads
26 (#630,780)

6 months
7 (#491,733)

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

Combinatorial principles in the core model for one Woodin cardinal.Ernest Schimmerling - 1995 - Annals of Pure and Applied Logic 74 (2):153-201.
The tree property at successors of singular cardinals.Menachem Magidor & Saharon Shelah - 1996 - Archive for Mathematical Logic 35 (5-6):385-404.
The fine structure of the constructible hierarchy.R. Björn Jensen - 1972 - Annals of Mathematical Logic 4 (3):229.
A model of Cummings and Foreman revisited.Spencer Unger - 2014 - Annals of Pure and Applied Logic 165 (12):1813-1831.

View all 6 references / Add more references