Lecture

Measure Theory: Sets and Algebras

In course

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Description

This lecture covers the concepts of measurability and independence of sets, limits, and construction of sigma-algebras. It introduces the construction of a sigma-algebra from a collection of sets, along with the definition of cylinder sets and their properties. The lecture also discusses the concept of a co-algebra, the uniqueness of measures, and the extension of measures. The presentation concludes with the proof of the uniqueness of measures and the extension of measures from a T-system to a sigma-algebra.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_nrt9o5sl

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Ontological neighbourhood

Mathematics

Analysis: Measure theory

Algebra: Abstract algebra

Topology: General topology

Logic

Classical logic: First-order logic

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