A partition theorem for perfect sets-Reference-Cited by-同舟云学术

A partition theorem for perfect sets

Published:1981 Issue:2 Volume:82 Page:271-277
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Blass Andreas

Abstract

Let P P be a perfect subset of the real line, and let the n n -element subsets of P P be partitioned into finitely many classes, each open (or just Borel) in the natural topology on the collection of such subsets. Then P P has a perfect subset whose n n -element subsets lie in at most ( n − 1 ) ! (n - 1)! of the classes.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1981-082-02/S0002-9939-1981-0609665-0/S0002-9939-1981-0609665-0.pdf

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3. F. Galvin, Partition theorems for the real line, Notices Amer. Math. Soc. 15 (1968), 660; Erratum 16 (1969), 1095.

4. Some counterexamples in the partition calculus;Galvin, Fred;J. Combinatorial Theory Ser. A,1973

5. A partition theorem;Halpern, J. D.;Trans. Amer. Math. Soc.,1966

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