Jan 10, 2011
I have completed the revision of Chapter 11. Now the theory does not require that the underlying measure space is complete. This has the advantage of simplicity: one only need to work with Borel measurable sets if the functions to start with are Borel measurable. I have revised the definition of topological measure space to accommodate this change. This has led to a better approximation result in Lp spaces by continuous functions (Proposition 11.131).