This paper is primarily concerned with the meet structure of the lattice of type Bn partitions of the set {±1, ±2, . . . , ±n}. The lattice of type Bn set partitions has been studied by Reiner [8]. It can be regarded as a representation of the intersection lattice of the type B Coxeter arrangements, see Björner and Wachs [3], Björner and Brenti [2] and Humphreys [6]. A set partition of type Bn ...