Some applications of set theory to measure theory

We prove several consistency and independence results in measure theory. The main theme of chapters 1 and 2 is the existence of liftings for non-complete probability spaces. Chapter 1 introduced the weak-density of a Boolean algebra. Chapters 3 and 4 contain results on measure-additive collections of null sets. Chapter 5 generalizes a result of Maharam concerning point-isomorphisms of 2...