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More on partitioning triples of countable ordinals
Author(s):
Albin
L.
Jones
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1197-1204.
MSC (2000):
Primary 03E05, 04A20;
Secondary 05A18, 05D10
Posted:
September 26, 2006
MathSciNet review:
2262926
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Abstract:
Consider an arbitrary partition of the triples of all countable ordinals into two classes. We show that either for each finite ordinal  the first class of the partition contains all triples from a set of type  , or for each finite ordinal  the second class of the partition contains all triples of an  -element set. That is, we prove that  for each pair of finite ordinals  and  .
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Additional Information:
Albin
L.
Jones
Affiliation:
Department of Mathematics, University of Kansas, Lawrence, Kansas 66045-2142
Address at time of publication:
2153 Oakdale Rd., Pasadena, Maryland 21122-5715
Email:
alj@mojumi.net
DOI:
10.1090/S0002-9939-06-08538-8
PII:
S 0002-9939(06)08538-8
Keywords:
Countable ordinals,
Ramsey theory,
transfinite numbers,
triples
Received by editor(s):
March 1, 2005
Received by editor(s) in revised form:
October 25, 2005
Posted:
September 26, 2006
Additional Notes:
The author would like to thank the University of Kansas for its support of this research.
Communicated by:
Julia Knight
Copyright of article:
Copyright
2006,
by Albin L. Jones
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