Combinatorial properties of the ideal ℬ₂

Abstract

Abstract By ℬ 2 we denote the σ -ideal of all subsets A of the Cantor set {0, 1} ω such that for every infinite subset T of ω the restriction A ∣{0, 1} T is a proper subset of {0, 1} T . In this paper we investigate set theoretical properties of this and similar ideals.