Lecture

Manifolds: Charts and Compatibility

In course

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Description

This lecture covers the concept of manifolds, focusing on charts and their compatibility. It explains how charts define the topology of a manifold and how to ensure compatibility between different charts. The lecture also discusses the notion of submanifolds and the importance of smooth analytic equations in defining them.

Official source

https://mediaspace.epfl.ch/media/0_ad3gievp

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Ontological neighbourhood

Mathematics

Analysis: Measure theory, Functional analysis

Topology: General topology

Algebra: Linear algebra, Abstract algebra

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