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Lecture
Introduction to Category Theory: Natural Transformations
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Natural Learning Session
Explores coproducts, universal properties, and natural transformations in category theory.
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.
Simplicial and Cosimplicial Objects: Examples and Applications
Covers simplicial and cosimplicial objects in category theory with practical examples.
Natural Transformations in Group Theory
Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.
Functors: Definition
Introduces functors in category theory and explains their composition.
Introduction to Category Theory: Natural Transformations
Introduces natural transformations in category theory through concrete examples from group theory.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
Limits and colimits as adjoints: Chapter 1(c)
Explores the characterization of limits and colimits as adjoints in category theory.
Natural Transformations: Definition
Covers the definition and properties of natural transformations between functors in category theory.
Natural Transformations and Functors
Covers natural transformations, functors, and their composition properties in category theory.
