Erdös-Rado without Choice

Journal of Symbolic Logic 72 (3):897 - 900 (2007)

Abstract
A version of the Erdös-Rado theorem on partitions of the unordered n-tuples from uncountable sets is proved, without using the axiom of choice. The case with exponent 1 is just the Sierpinski-Hartogs' result that $\aleph (\alpha)\leq 2^{2^{2^{\alpha}}}$
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2178/jsl/1191333846
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 45,305
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Canonical Partition Relations.James E. Baumgartner - 1975 - Journal of Symbolic Logic 40 (4):541-554.
Canonization Theorems and Applications.Saharon Shelah - 1981 - Journal of Symbolic Logic 46 (2):345-353.
An Ordinal Partition Avoiding Pentagrams.Jean A. Larson - 2000 - Journal of Symbolic Logic 65 (3):969-978.
Zuschriften an Die Herausgeber.Richard Rado - 1932 - Erkenntnis 3 (1):101-102.
Co-Stationarity of the Ground Model.Natasha Dobrinen & Sy-David Friedman - 2006 - Journal of Symbolic Logic 71 (3):1029 - 1043.
Π01-Classes and Rado's Selection Principle.C. G. Jockusch, A. Lewis & J. B. Remmel - 1991 - Journal of Symbolic Logic 56 (2):684 - 693.
Note on an Inequality of Tibor Rado.Michael Anderson - 1967 - Notre Dame Journal of Formal Logic 8 (1-2):159-160.
Jónsson Cardinals, Erdös Cardinals, and the Core Model.W. J. Mitchell - 1999 - Journal of Symbolic Logic 64 (3):1065-1086.
Rado's Theorem and Solvability of Systems of Equations.Alexander Abian - 1973 - Notre Dame Journal of Formal Logic 14 (2):145-150.

Analytics

Added to PP index
2010-08-24

Total views
7 ( #920,751 of 2,279,940 )

Recent downloads (6 months)
1 ( #830,174 of 2,279,940 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature