Measurable functions and Lebesgue integration
Hannalie Helena Brooks · Unisa Institutional Repository (University of South Africa) · 2002
In this thesis we shall examine the role of measurerability in the theory of Lebesgue Integration. This shall be done in the context of the real line where we define the notion of an integral of a bounded real-valued function over a set of bounded outer measure without a prior assumption of measurability concerning the function and the domain of integration.