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Section (category theory)
Related lectures (32)
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Introduction to Category Theory: Examples
Introduces the theory of categories through examples and discusses the product of categories.
Direct Sums: Lemme 1.2
Delves into direct sums of abelian groups, showcasing their coproduct properties and universal verification.
Free Abelian Groups: Group Theory
Explores the concept of free abelian groups as an important left adjoint functor.
Natural Transformations: Definition
Covers the definition and properties of natural transformations between functors in category theory.
Natural Transformations: Examples and Applications
Explores natural transformations between functors in different categories and their applications.
Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Natural Transformations in Group Theory
Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.
Introduction to Category Theory: Natural Transformations
Introduces natural transformations in category theory through concrete examples from group 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: Natural Transformations
Covers the concept of natural transformations between functors and their associativity.