Lecture

Homotopy: Fundamentals and Examples

In course

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Description

This lecture introduces the concept of homotopy, explaining how it relates to continuous functions between topological spaces. The instructor illustrates the definition of homotopy through various examples, including the torus and sphere product. The lecture also covers the properties of homotopy, such as the homotopy relation and its implications in topology.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_kthgud8z

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Ontological neighbourhood

Mathematics

Topology: Algebraic topology, General topology

Mathematical logic: Set theory

Analysis: Functional analysis

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