On a σ-ideal of compact sets

We recall from [T. Mátrai, Kenilworth, Proc. Amer. Math. Soc. 137 (3) (2009) 1115–1125] a G δ σ-ideal of compact subsets of 2 ω and prove that it is not Tukey reducible to the ideal I 1 / n = { H ⊆ ω : ∑ h ∈ H 1 / h < ∞ } . This result answers a question of S. Solecki and S. Todorčević in the negative.