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A short proof of Ellentuck's Theorem

Author(s): Pierre Matet
Journal: Proc. Amer. Math. Soc. 129 (2001), 1195-1197.
MSC (2000): Primary 03E05
Posted: October 4, 2000
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Abstract | References | Similar articles | Additional information

Abstract:

We combine standard arguments to give a shorter proof of Ellentuck's Theorem.

References:

1.
F. Galvin and K. Prikry, Borel sets and Ramsey's theorem, Journal of Symbolic Logic 38 (1973), 193-198. MR 49:2399

2.
E. Ellentuck, A new proof that analytic sets are Ramsey, Journal of Symbolic Logic 39 (1974), 163-165. MR 50:1887

3.
A. R. D. Mathias, Happy families, Annals of Mathematical Logic 12 (1977), 59-111. MR 58:10462

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Additional Information:

Pierre Matet
Affiliation: Université de Caen-CNRS, ESA 6081, Laboratoire SDAD, Campus II, 14032 Caen Cedex, France
Email: matet@math.unicaen.fr

DOI: 10.1090/S0002-9939-00-05653-7
PII: S 0002-9939(00)05653-7
Received by editor(s): March 23, 1999
Received by editor(s) in revised form: June 21, 1999
Posted: October 4, 2000
Dedicated: Dedicated to Adrian Mathias
Communicated by: Carl G. Jockusch, Jr.
Copyright of article: Copyright 2000, American Mathematical Society

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