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Related lectures (32)

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Introduction to Category Theory: Adjoint Functors

Explores a concrete example of adjunction in category theory and covers natural transformations and group theory concepts.

Natural Learning Session

Explores coproducts, universal properties, and natural transformations in category theory.

Functor Categories Composition and Induced Functors

Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.

Introduction to Category Theory: Natural Transformations

Covers the concept of natural transformations between functors and their associativity.

Equivalences de Catégories et Adjonctions

Explores category equivalences, adjunctions, and group actions in category theory.

Generalization of Category Equivalence

Introduces an important generalization of category equivalence and its implications for group theory.

Limits and colimits as adjoints: Chapter 1(c)

Explores the characterization of limits and colimits as adjoints in category theory.

Introduction to Category Theory: Equivalence of Categories

Covers the definition of equivalence of categories using natural transformations and provides concrete examples.

Limits and Colimits: Understanding Categories

Explores limits and colimits in category theory, discussing their definitions, properties, and applications, including the non-existence of limits in certain categories and the relationships between limits and colimits under functors.

Transfer of Model Structures

Covers the transfer of model structures through adjunctions in the context of model categories.