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Lecture
Natural Transformations
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Related lectures (32)
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Introduction to Category Theory: Natural Transformations
Covers the concept of natural transformations between functors and their associativity.
Natural Transformations Composition
Covers the theory of categories, emphasizing the importance of naturalness in the composition of transformations.
Functors and Adjunctions
Explores functors between categories and the conditions for left and right adjoints.
Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Category Theory: Introduction
Explores the concept of category theory, providing examples and discussing the opposite category concept.
Active Learning in Category Theory
Explores examples of categories, morphisms, groupoids, and functors in category theory.
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: 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.
Functor Categories Composition and Induced Functors
Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.
