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Adjunctions and Push Outs
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Related lectures (32)
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Natural Transformations in Group Theory
Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.
Natural Transformations: Definition
Covers the definition and properties of natural transformations between functors in category theory.
Functors: Definition
Introduces functors in category theory and explains their composition.
Introduction to Adjunctions in Category Theory
Introduces adjunctions in category theory, exploring necessary conditions and natural transformations for adjoint functors.
Free Abelian Groups: Group Theory
Explores the concept of free abelian groups as an important left adjoint functor.
Introduction to Category Theory: Functors
Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.
Functor Categories Composition and Induced Functors
Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.
Functors and Adjunctions
Explores functors between categories and the conditions for left and right adjoints.
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.
Introduction to Category Theory: Adjunctions (Part 1)
Explores the definition of adjunctions and the relationship between functors.