Categories and Functors: An Introduction

Related lectures (32)

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Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.

Covers simplicial and cosimplicial objects in category theory with practical examples.

Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.

Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.

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

Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.

Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.

Explores natural transformations in algebra, defining functors and isomorphisms.

Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.

Covers the computation of nerves and geometric realization in simplicial sets, along with functors into and out of the category of simplicial sets.