MATH0017 Measure Theory

Term 1 2025/26

University College London

taught by Aleksander Doan ([email protected])

These notes are based heavily on the lecture notes initially written by Costante Belletini and updated by Matthew Schrecker and Megan Griffin-Pickering who taught this course in the past. A pdf with the complete 2024 notes is available here (there are some minor differences with the notes posted below)

Measure Theory.pdf

Course information

Lecture 1: Introduction

Lecture 2: Length

Lecture 3: Measurable sets

Lecture 4: Lebesgue measure

Lecture 5: Measure spaces

Lecture 6: Carathéodory theorem

Lecture 7: Premeasures

Lecture 8: Product measures

Lecture 9: Hausdorff measure

Lecture 10: Measurable functions I