Adjunctions: Constructing Desired Adjoints

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Description

This lecture explores concrete examples of adjunctions, focusing on how to construct desired adjoints. The instructor discusses the properties that adjoints should have and provides specific categories where such functors exist, emphasizing the natural transformation and naturality. Various categories are considered, such as Set, to illustrate the concept of adjunctions and left/right adjoints.

Official source

Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Category theory

Related lectures (32)

https://mediaspace.epfl.ch/media/0_m5q6wcpl

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In course

DEMO: cupidatat deserunt nisi

Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Category theory

Related lectures (32)

Functors and Adjunctions

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Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.

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Categories and Functors

Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.

Limits and colimits in Top

Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.