Ramsey theorems for Boolean algebras (Q1179109)

First, the Ramsey theorem for an arbitrary infinite cardinal is proved, and then it is applied to characterize several properties of a certain space of countable sequences of ordinals. Also, a necessary and sufficient condition is given for a sequence of strongly additive Banach- valued measures to be uniformly strongly additive. For the last, some \(c_ 0(X)\)-valued mappings are used defined on certain spaces of the type mentioned before.