The Journal of Symbolic Logic

Research Article

Polarized partition relations

James E. Baumgartnera1 and Andras Hajnala2

a1 Dartmouth College, Department of Mathematics, Hanover, NH 03755, USA, E-mail:

a2 Rutgers University, Department of Mathematics, Piscataway, N.J. 08854, USA, E-mail:


It is shown that for any cardinal κ, , and if κ is weakly compact then .

(Received August 18 1999)

(Revised November 28 1999)