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A combinatorial property of cardinals
Authors:  ter Komjá  th   Mikló  s Laczkovich
Affiliation: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 $kappa ge omega_2$ there exists $F:[kappa]^{le 2} to { 0,1}$ such that for every $f: kappato [kappa]^{<omega}, i < 2$, there are $x,y$ such that $F(x,t)=i (tin f(y)), F(u,y)=i (uin f(x))$.

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