Can groupwise density be much bigger than the non-dominating number?

We prove that g (the groupwise density number) is smaller or equal to b^+ (the successor of the minimal cardinality of a non-dominated subset of omega^omega)

GROUPWISE DENSITY CANNOT BE MUCH BIGGER THAN THE UNBOUNDED NUMBER

Abstract. We prove that g (the groupwise density number) is smaller or equal to b +, the successor of the minimal cardinality of an unbounded subset of ω ω. 1

GROUPWISE DENSITY CANNOT BE MUCH BIGGER THAN THE UNBOUNDED NUMBER

Abstract. We prove that g (the groupwise density number) is smaller or equal to b +, the successor of the minimal cardinality of an unbounded subset of ω ω. This is true even for the version of g for groupwise dense ideals. 1