Topic: Outer Measures and Caratheodory's Theorem

When an Outer Measure Is Not a Measure

Verifying Outer Measure Axioms in Explicit Examples

The Sigma-Algebra of Caratheodory Measurable Sets

The Finite-Stage Estimate for Disjoint Splittings

The Empty Set and Whole Space as Measurable Sets

Restricting an Outer Measure to Measurable Sets

Outer Measures on Power Sets

Outer Measures Built from Covering Costs

Null Sets of an Outer Measure

Measurable Modifications by Outer-Null Sets