Lecture

Cantor-Heine Theorem

Description

This lecture discusses the Cantor-Heine theorem, which states that a function is uniformly continuous on a compact non-empty set if it is continuous. The proof for the generalized version is presented, along with the concept of compactness. The lecture also covers the error in the proof and the implications of the theorem being false in certain cases.

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Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_ea9n9bml

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Ontological neighbourhood

Mathematics

Analysis: Vector analysis

Topology: General topology

Algebra: Linear algebra

Logic

Classical logic: First-order logic

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