A combinatorial property of cardinals
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- by Péter Komjáth and Miklós Laczkovich PDF
- Proc. Amer. Math. Soc. 130 (2002), 1487-1491 Request permission
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 $F(x,t)=i\ (t\in f(y)),\ F(u,y)=i\ (u\in f(x))$.References
- Thomas Jech, Set theory, Pure and Applied Mathematics, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 506523
Additional Information
- Péter Komjáth
- Affiliation: Department of Computer Science, Eötvös University, P.O. Box 120, 1518, Budapest, Hungary
- MR Author ID: 104465
- 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
- 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.
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 1487-1491
- MSC (2000): Primary 03E05
- DOI: https://doi.org/10.1090/S0002-9939-01-06198-6
- MathSciNet review: 1879974