Category theory

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Related lectures (32)

Limits and colimits as adjoints: Chapter 1(c)

Explores the characterization of limits and colimits as adjoints in category theory.

Limits and colimits: Two examples

Focuses on the pushout and pullback constructions in sets, illustrating colimits and limits with explicit examples.

Active Learning in Category Theory

Explores examples of categories, morphisms, groupoids, and functors in category theory.

Group Theory: Restriction Functor

Explores the restriction functor in group theory, focusing on its properties.

Introduction to Category Theory: Adjunctions (Part 1)

Explores the definition of adjunctions and the relationship between functors.

Introduction to Category Theory: Equivalence of Categories

Covers the definition of equivalence of categories using natural transformations and provides concrete examples.

Group Quotients and Push-outs

Explores group quotients and push-outs, discussing isomorphisms and surjectivity in different scenarios.

Introduction to Category Theory: Natural Transformations

Covers the concept of natural transformations between functors and their associativity.

Introduction to Categories: Products and Coproducts

Introduces the theory of categories by generalizing the Cartesian product and disjoint union of sets to any category.

Free Abelian Groups: Group Theory

Explores the concept of free abelian groups as an important left adjoint functor.

Introduction to Category Theory: Adjoint Functors

Introduces adjoint functors in category theory, emphasizing their significance and applications in establishing relationships between different categories.

Introduction to Category Theory

Covers the introduction to categories, including definitions and examples.

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