Lecture

Functors: Assigning Morphisms and Dual Spaces

In course

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Description

This lecture covers the concept of functors, which are mappings between categories that assign to each object in one category an object in another category, and to each morphism in the first category a morphism in the second category. The lecture explains the notion of homology functors, contravariant functors, and the assignment of dual spaces to vector spaces. It also delves into the composition of functors and the properties of functors in different categories.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_znqb4pv3

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Topology: Algebraic topology

Analysis: Functional analysis

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