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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 combinatorial property of cardinals


Authors: Péter Komjáth and Miklós Laczkovich
Journal: Proc. Amer. Math. Soc. 130 (2002), 1487-1491
MSC (2000): Primary 03E05
Published electronically: October 23, 2001
MathSciNet review: 1879974
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Abstract: (GCH) For every cardinal $\kappa \ge \omega_2$ there exists $F:[\kappa]^{\le 2} \to \{ 0,1\}$ such that for every $f: \kappa\to [\kappa]^{<\omega}, i < 2$, there are $x,y$ such that $F(x,t)=i (t\in f(y)), F(u,y)=i (u\in f(x))$.


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Additional Information

Péter Komjáth
Affiliation: Department of Computer Science, Eötvös University, P.O. Box 120, 1518, Budapest, Hungary
Email: kope@cs.elte.hu

Miklós Laczkovich
Affiliation: Department of Analysis, Eötvös University, P.O. Box 120, 1518, Budapest, Hungary
Email: laczk@cs.elte.hu

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06198-6
PII: S 0002-9939(01)06198-6
Received by editor(s): June 27, 2000
Received by editor(s) in revised form: November 8, 2000
Published electronically: October 23, 2001
Additional Notes: Both authors were supported by Hungarian Research Grant FKFP 2007/1997
Communicated by: Carl G. Jockusch, Jr.
Article copyright: © Copyright 2001 American Mathematical Society