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A combinatorial property of cardinals |
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| Authors: | Pé ter Komjá th Mikló s Laczkovich |
| Institution: | Department of Computer Science, Eötvös University, P.O. Box 120, 1518, Budapest, Hungary ; Department of Analysis, Eötvös University, P.O. Box 120, 1518, Budapest, Hungary |
| Abstract: | (GCH) For every cardinal  there exists ![$F:\kappa]^{\le 2} \to \{ 0,1\}$](http://www.ams.org/proc/2002-130-05/S0002-9939-01-06198-6/gif-abstract0/img2.gif){kind=small} such that for every ![$f: \kappa\to \kappa]^{<\omega}, i < 2$](http://www.ams.org/proc/2002-130-05/S0002-9939-01-06198-6/gif-abstract0/img3.gif){kind=small} , there are  such that  . |
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