Lecture

From embedded to general manifolds: upgrading our foundations

In course

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Description

This lecture explores the transition from embedded to general manifolds, focusing on upgrading foundational concepts like smooth functions, tangent vectors, and smooth sets. The instructor emphasizes the importance of removing references to embedding spaces and ensuring compatibility between perspectives, while discussing the mathematical reasons for both approaches and their applications.

In MOOC

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_u6auagre

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Ontological neighbourhood

Mathematics

Geometry: Differential geometry

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