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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A proof of a partition theorem for $[\mathbb Q]^n$


Author: Vojkan Vuksanovic
Journal: Proc. Amer. Math. Soc. 130 (2002), 2857-2864
MSC (2000): Primary 05A18
Published electronically: March 25, 2002
MathSciNet review: 1908908
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Abstract: In this note we give a proof of Devlin's theorem via Milliken's theorem about weakly embedded subtrees of the complete binary tree $2^{<\mathbb N }$. Unlike the original proof which is (still unpublished) long and uses the language of category theory, our proof is short and uses direct combinatorial reasoning.


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Additional Information

Vojkan Vuksanovic
Affiliation: Department of Mathematics, University of Toronto, Toronto, Ontario, Canada MS5 1A1
Email: voja@math.toronto.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06460-2
PII: S 0002-9939(02)06460-2
Keywords: Partitions of rationals
Received by editor(s): March 29, 2001
Received by editor(s) in revised form: May 29, 2001
Published electronically: March 25, 2002
Communicated by: Alan Dow
Article copyright: © Copyright 2002 American Mathematical Society