Topic: Premeasures and the Extension Theorem

Verifying the Induced Outer Measure

The Ring Generated by a Semiring

The Covering Infimum Construction

The Caratheodory-Hahn Extension Theorem

Testing Premeasures on Concrete Set Systems

Sigma-Finite Uniqueness by Exhaustion

Sigma-Finite Premeasures and Countable Exhaustions

Semirings of Sets and Standard Examples

Proving Agreement on the Original Ring

Premeasures and Countable Additivity on Rings