Lecture 03: Fields and Generating sets for Sigma-fields
Dec 2, 2023
In this lecture, we introduce the notion of a field of subsets. We also construct the minimal σ-fields containing a given collection of sets. The arithmetic on the extended real number system is also discussed.
Self-assessment / Activity questions:
What is a field on a non-empty set?
What is the Borel σ-field on R?