Category Theory: Introduction

Related lectures (32)

Page 3 of 4

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

Provides an overview of categories, functors, and natural transformations in mathematics.

Covers the transfer of model structures through adjunctions in the context of model categories.

Introduces natural transformations in category theory through concrete examples from group theory.

Explores group actions, defining functors on groups, and verifying properties of group actions.

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

Introduces limits and colimits in a category, covering their properties and uniqueness.

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

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

Explores the construction of G-sets and left adjoint functors in category theory.