  Let kappa a regular uncountable cardinal and lambda a cardinal >kappa, and
suppose lambda^{<kappa} is less than the covering number for category
cov(M_{kappa,kappa}). Then (a) I_{kappa,lambda}^+ -->^kappa (I_{kappa,
lambda}^+,omega +1)^2,
  (b) I_{kappa, lambda}^+ -->^kappa [I_{kappa, lambda}^+]_{kappa^+}^2 if kappa
is a limit cardinal, and (c) I_{kappa, lambda}^+ -->^kappa (I_{kappa,
lambda}^+)^2 if kappa is weakly compact.
