Category Theory: Introduction

Related lectures (32)

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

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

Explores building categories from graphs and the encoding of information by functors.

Explores natural transformations in algebra, defining functors and isomorphisms.

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

Introduces categories, concrete examples, opposite categories, and isomorphisms, leading to groupoids.

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

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

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

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