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Lecture
Natural Transformations: Examples and Applications
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Natural Transformations: Definition
Covers the definition and properties of natural transformations between functors in category theory.
Functor Categories Composition and Induced Functors
Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.
Categories and Functors
Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
Group Morphisms: G-equivariant, Chapter III
Discusses the formulation of G-morphisms within vector spaces and topological spaces.
Natural Transformations and Functors
Covers natural transformations, functors, and their composition properties in category 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: Adjoint Functors
Explores a concrete example of adjunction in category theory and covers natural transformations and group theory concepts.
Natural Transformations: Examples
Introduces natural transformations through examples, covering equivalence of categories and functor properties.
Natural Transformations: Functors and Categories
Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.
Transfer of Model Structures
Covers the transfer of model structures through adjunctions in the context of model categories.