Lecture

Subsequences: bounded sequences and Bolzano-Weierstrass theorem

In course

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Description

This lecture covers the concept of bounded sequences, defining a subsequence as a function of a strictly increasing sequence, and introducing the Bolzano-Weierstrass theorem stating that a bounded sequence has a convergent subsequence. It also discusses continuous functions, their properties, and the application of the Bolzano-Weierstrass theorem to continuous functions.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_yp60fq0g

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Ontological neighbourhood

Mathematics

Topology: General topology

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