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Related lectures (32)
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Group Theory: Subgroups and General Group Actions
Explores group actions, defining functors on groups, and verifying properties of group actions.
Category Theory: G-sets and Left Adjoint Functor
Explores the construction of G-sets and left adjoint 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.
Natural Transformations in Algebra
Explores natural transformations in algebra, defining functors and isomorphisms.
Equivalences de Catégories et Adjonctions
Explores category equivalences, adjunctions, and group actions in category theory.
Homotopical Algebra
Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
Introduction to Category Theory: Adjoint Functors
Explores a concrete example of adjunction in category theory and covers natural transformations and group theory concepts.
Group Morphisms: G-equivariant, Chapter III
Discusses the formulation of G-morphisms within vector spaces and topological spaces.
Generalization of Category Equivalence
Introduces an important generalization of category equivalence and its implications for group theory.