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Lecture
Natural Transformations: Definition
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Group Actions and Functors
Covers group quotient, group actions, and functors connecting sets and G-sets.
Active Learning in Category Theory
Explores examples of categories, morphisms, groupoids, and functors in category theory.
Limits and colimits as adjoints: Chapter 1(c)
Explores the characterization of limits and colimits as adjoints in category theory.
Equivalences de Catégories et Adjonctions
Explores category equivalences, adjunctions, and group actions in category theory.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
Natural Transformations and Functors
Covers natural transformations, functors, and their composition properties in category theory.
Functors: Definition
Introduces functors in category theory and explains their composition.
Free Abelian Groups: Group Theory
Explores the concept of free abelian groups as an important left adjoint functor.
Mutually Inverse Alpha and Beta
Explores adjunctions and mutual inverses alpha and beta in category theory.
Simplicial and Cosimplicial Objects: Examples and Applications
Covers simplicial and cosimplicial objects in category theory with practical examples.