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A note on the Ramsey property
Author(s):
A.
Tsarpalias
Journal:
Proc. Amer. Math. Soc.
127
(1999),
583-587.
MSC (1991):
Primary 04A20;
Secondary 04A15
MathSciNet review:
1458267
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Abstract:
An elementary setting of the classical Ramsey property is given, which leads to simple proofs of the relevant theorems of Galvin-Prikry and Silver.
References:
- 1.
- T. J. Carlson, Some unifying principles in Ramsey theory, Discrete Math. 68 (1988), 117-169. MR 89b:04006
- 2.
- T. J. Carlson and S. G. Simpson, A dual form of Ramsey's theorem, Adv. Math. 53 (1984), 265-290. MR 85h:04002
- 3.
- E. Ellentuck, A new proof that analytic sets are Ramsey, J. Symbolic Logic 39 (1974), 163-165. MR 50:1887
- 4.
- F. Galvin and K. Prikry, Borel sets and Ramsey's theorem, J. Symbolic Logic 38 (1973), 193-198. MR 49:2399
- 5.
- A. Kechris, Classical Descriptive Set Theory, Springer-Verlag, New York, 1995. MR 96e:03057
- 6.
- J. Silver, Every analytic set is Ramsey, J. Symbolic Logic 35 (1970), 60-64. MR 48:10807
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Additional Information:
A.
Tsarpalias
Affiliation:
Department of Mathematics, University of Athens, Panepistemiopolis, Athens 15784, Greece
DOI:
10.1090/S0002-9939-99-04518-9
PII:
S 0002-9939(99)04518-9
Received by editor(s):
November 19, 1996
Received by editor(s) in revised form:
May 16, 1997
Communicated by:
Andreas R. Blass
Copyright of article:
Copyright
1999,
American Mathematical Society
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