Large cardinals and iteration trees of height ω

Annals of Pure and Applied Logic 54 (1):1-15 (1991)
  Copy   BIBTEX

Abstract

In this paper we continue the line of work initiated in “Building iteration trees”. It is shown that the existence of a certain kind of iteration tree of height ω is equivalent to the existence of a cardinal δ that is Woodin with respect to functions in the next admissible

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,991

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

Building iteration trees.Alessandro Andretta - 1991 - Journal of Symbolic Logic 56 (4):1369-1384.
Inner models with many Woodin cardinals.J. R. Steel - 1993 - Annals of Pure and Applied Logic 65 (2):185-209.
Aronszajn trees on ℵ2 and ℵ3.Uri Abraham - 1983 - Annals of Mathematical Logic 24 (3):213-230.
The isomorphism problem for ω-automatic trees.Dietrich Kuske, Jiamou Liu & Markus Lohrey - 2013 - Annals of Pure and Applied Logic 164 (1):30-48.
Forcing closed unbounded subsets of ω2.M. C. Stanley - 2001 - Annals of Pure and Applied Logic 110 (1-3):23-87.
Aronszajn trees and the successors of a singular cardinal.Spencer Unger - 2013 - Archive for Mathematical Logic 52 (5-6):483-496.
The tree property at ℵ ω+1.Dima Sinapova - 2012 - Journal of Symbolic Logic 77 (1):279-290.
An extension of borel determinacy.Donald A. Martin - 1990 - Annals of Pure and Applied Logic 49 (3):279-293.
The tree property at [image].Dima Sinapova - 2012 - Journal of Symbolic Logic 77 (1):279 - 290.

Analytics

Added to PP
2014-01-16

Downloads
20 (#791,515)

6 months
6 (#588,321)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Counterexamples to the Unique and Cofinal Branches Hypotheses.Itay Neeman & John Steel - 2006 - Journal of Symbolic Logic 71 (3):977 - 988.

Add more citations

References found in this work

Building iteration trees.Alessandro Andretta - 1991 - Journal of Symbolic Logic 56 (4):1369-1384.

Add more references