Introduction to Ergodic Theory 1

Explore the foundations of ergodic theory in this 48-minute lecture by Oliver Butterley from ICTP. Delve into key concepts including measure theory, sigma algebra, and the construction of Lebesgue measure. Learn about noncomplete measure spaces, outer measures, and tackle exercises with provided hints. Gain a solid understanding of the fundamental principles and terminology essential for further study in this mathematical field.

Introduction
Measure theory
The goal
Sigma algebra
Examples
Terminology
Noncomplete measure space
Defining outer measure
Constructing lebesgue measure
Exercises
Hints