Introduction to Category Theory: Adjunctions (Part 1)

Related lectures (32)

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

Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.

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

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Covers the definition and properties of natural transformations between functors in category theory.

Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.

Explores the concept of category theory, providing examples and discussing the opposite category concept.

Covers the relationship between model categories and homotopy categories through functors preserving structural properties.

Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.

Covers natural transformations, functors, and their composition properties in category theory.

Covers group quotient, group actions, and functors connecting sets and G-sets.

Explores functors between categories and the conditions for left and right adjoints.

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