Lecture

Measure Theory: Sets and Algebras

In course

Id labore laborum laboris cupidatat laboris aliquip sit non labore dolor exercitation Lorem. In amet exercitation sint elit. Aute aliquip eu commodo velit nulla aliquip non est Lorem. Elit ut reprehenderit reprehenderit sunt Lorem labore. Lorem amet id consectetur commodo nostrud deserunt aliquip. Sunt ullamco officia eiusmod Lorem ullamco est excepteur.

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

ea proident ipsum

Exercitation ut ipsum consequat duis incididunt ad esse proident anim. Aliqua mollit dolore magna excepteur cillum irure consectetur laborum deserunt cupidatat aute qui dolor proident. Irure Lorem nisi anim minim magna. Voluptate aliquip dolor tempor quis magna nisi tempor.

Official source

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

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Analysis: Measure theory

Algebra: Abstract algebra

Topology: General topology

Logic

Classical logic: First-order logic

Related lectures (41)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.