Infimum and Supremum: Understanding Bounded Sets

In course

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Description

This lecture covers the concepts of infimum and supremum in the context of bounded sets, explaining how to find these bounds and their uniqueness. It also delves into the properties of Archimedes and the density of rational numbers in real numbers. The lecture concludes with exercises demonstrating the application of these concepts in finding irrational numbers and minimum values in sets.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_oig2kntq

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Ontological neighbourhood

Mathematics

Analysis: Topics in analysis

Topology: General topology

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