On a σ-ideal of compact sets

We recall from [T. Mátrai, Kenilworth, Proc. Amer. Math. Soc. 137 (3) (2009) 1115–1125] a Gδ σ-ideal of compact subsets of ω2 and prove that it is not Tukey reducible to the ideal . This result answers a question of S. Solecki and S. Todorčević in the negative.