Determinacy and Jónsson cardinals in L

Journal of Symbolic Logic 79 (4):1184-1198 (2014)
  Copy   BIBTEX

Abstract

Assume ZF + AD +V=L and letκ< Θ be an uncountable cardinal. We show thatκis Jónsson, and that if cof = ω thenκis Rowbottom. We also establish some other partition properties.

Other Versions

No versions found

Links

PhilArchive

External links

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

Through your library

Similar books and articles

More Jonsson Algebras.Saharon Shelah - 2003 - Archive for Mathematical Logic 42 (1):1-44.
On successors of Jónsson cardinals.J. Vickers & P. D. Welch - 2000 - Archive for Mathematical Logic 39 (6):465-473.
Jónsson cardinals, erdös cardinals, and the core model.W. J. Mitchell - 1999 - Journal of Symbolic Logic 64 (3):1065-1086.
Large Cardinals, Inner Models, and Determinacy: An Introductory Overview.P. D. Welch - 2015 - Notre Dame Journal of Formal Logic 56 (1):213-242.
The consistency strength of projective absoluteness.Kai Hauser - 1995 - Annals of Pure and Applied Logic 74 (3):245-295.
A Cardinal Pattern Inspired by AD.Arthur W. Apter - 1996 - Mathematical Logic Quarterly 42 (1):211-218.
The largest countable inductive set is a mouse set.Mitch Rudominer - 1999 - Journal of Symbolic Logic 64 (2):443-459.
Successors of singular cardinals and coloring theorems I.Todd Eisworth & Saharon Shelah - 2005 - Archive for Mathematical Logic 44 (5):597-618.

Analytics

Added to PP
2016-06-30

Downloads
107 (#463,149)

6 months
27 (#348,164)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

W. Hugh Woodin
Harvard University

References found in this work

HOD L(ℝ) is a Core Model Below Θ.John R. Steel - 1995 - Bulletin of Symbolic Logic 1 (1):75-84.

Add more references