Lectures related to Introduction to Category Theory: Adjunctions (Part 1)

Introduction to Category Theory: Natural Transformations

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

Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.

Adjunctions and Limits: Exploring Functors and Co-limits

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

Adjunctions and Functor Categories: Exploring Connections

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

Natural Transformations

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

Introduction to Category Theory: Equivalence of Categories

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

Natural Transformations: Examples and Applications

Explores natural transformations between functors in different categories and their applications.

Simplicial and Cosimplicial Objects: Examples and Applications

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

Equivalences de Catégories et Adjonctions

Explores category equivalences, adjunctions, and group actions in category theory.

Transfer of Model Structures

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

Limits and colimits: Introduction, Chapter 1(c)

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

Active Learning Session

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

Limits and Colimits in Functor Categories

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

Natural Transformations: Examples

Introduces natural transformations through examples, covering equivalence of categories and functor properties.

Introduction to Category Theory: Natural Transformations

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

Limits and Colimits: Understanding Categories

Explores limits and colimits in category theory, discussing their definitions, properties, and applications, including the non-existence of limits in certain categories and the relationships between limits and colimits under functors.

Category Theory: Introduction

Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.

Natural Transformations in Algebra

Explores natural transformations in algebra, defining functors and isomorphisms.

Natural Learning Session

Explores coproducts, universal properties, and natural transformations in category theory.

Categories and Functors: An Introduction

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