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Lecture
Equivalences de Catégories et Adjonctions
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Related lectures (32)
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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.
Category Theory: G-sets and Left Adjoint Functor
Explores the construction of G-sets and left adjoint functors in category theory.
Group Theory: Subgroups and General Group Actions
Explores group actions, defining functors on groups, and verifying properties of group actions.
Introduction to Category Theory: Natural Transformations
Covers the concept of natural transformations between functors and their associativity.
Natural Transformations: Definition
Covers the definition and properties of natural transformations between functors in category theory.
Group Theory: Adjoint Functors and G-sets
Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.
Category Theory: Introduction
Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.
Categories and Functors: An Introduction
Provides an overview of categories, functors, and natural transformations in mathematics.
Natural Learning Session
Explores coproducts, universal properties, and natural transformations in category theory.
Transfer of Model Structures
Covers the transfer of model structures through adjunctions in the context of model categories.