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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 partition theorem for perfect sets


Author: Andreas Blass
Journal: Proc. Amer. Math. Soc. 82 (1981), 271-277
MSC: Primary 03E15; Secondary 03E05, 04A20, 54H05
MathSciNet review: 609665
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Abstract: Let $ P$ be a perfect subset of the real line, and let the $ n$-element subsets of $ P$ be partitioned into finitely many classes, each open (or just Borel) in the natural topology on the collection of such subsets. Then $ P$ has a perfect subset whose $ n$-element subsets lie in at most $ (n - 1)!$ of the classes.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0609665-0
PII: S 0002-9939(1981)0609665-0
Article copyright: © Copyright 1981 American Mathematical Society