Topic: Outer Measures and Caratheodory's Theorem

Measurability Through the Splitting Defect

Finite Unions of Caratheodory Measurable Sets

Finite Splitting by Several Measurable Sets

Disjointization of Countable Families

Countable Unions via Disjointization

Countable Disjoint Unions of Measurable Sets

Countable Additivity from Caratheodory Splitting

Completeness of the Caratheodory Measure

Complement Closure via the Splitting Criterion

Common Errors in Caratheodory Proofs