Linear Applications and Simple Objects

In course

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Description

This lecture covers the bijection between linear applications from L(X) to V and applications from X to U(V), followed by a philosophical reflection on decomposing complex objects into simple ones. The concepts of product, coproduct, and adjunctions are revisited with examples in small categories.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_w2qbrqsh

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Linear algebra

Physics

Quantum mechanics: Quantum gravity

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