Transitive Properties of the Ideal 𝕊₂

Abstract

In this paper we compute transitive cardinal coefficients of the σ-ideal S 2 , the least nontrivial productive σ-ideal of subsets of the Cantor space 2 ω. We also apply transitive operations to S 2. In particular, we show that σ-ideal of strongly S 2 sets is equal to B 2 , one of Mycielski ideals.