ABSTRACT
In Chapter 10 it was shown that, assuming Martin’s Axiom, there exists an injective absolutely nonmeasurable function
f : R→ R.
In other words, it was demonstrated that some functions f acting from R into R are extremely bad from the measure-theoretical point of view, i.e., those f are nonmeasurable with respect to any nonzero σ-finite diffused measure defined on a σ-algebra of subsets of R.
