Where can I find a nice collection of solved exercises on Elementary Measure Theory? (Rings, algebras, $\sigma$-algebras, Borel sets, measures, outer measures, Lebesgue measure, measurable functions, Borel functions, etc.)
- René Schilling: Measures, Integrals and Martingales. There is a solution manual available on the web with full solutions to all exercises. The book does not only cover elementary measure theory, but further topics in measure/probability theory.
- Claude George: Exercises in Integration. This is a problem book on measure theory; solutions to the exercises are included in the book (table of contents).