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We prove that if of K = ω and λ = 2 <K , then (λ + λ)→(λ + λ α κ) 1,1 for all a < ω 1 . This polarized partition relation holds if for every partition λx λ + = K 0 ∪K 1 either there are B 0 ∈ [λ] λ and A 0 ∈ [λ+] λ+ with B 0 x A 0 C K 0 or there are B 1 e [κ] λ and A 1 ∈ [α] λ+ with B 1 x A 1 ⊆ K 1 .

A polarized partition relation for cardinals of countable cofinality