Lectures related to An Introduction to Category Theory: Products and Coproducts

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

Limits and Colimits in Functor Categories

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

Left Adjoint Preserves Coproducts

Explores how left adjoints preserve coproducts in category theory with detailed proofs and morphism diagrams.

Natural Transformations: Examples and Applications

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

Adjunctions and Limits: Exploring Functors and Co-limits

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

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.

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.

Transfer of Model Structures

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

Active Learning Session

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

Limits and colimits: Introduction, Chapter 1(c)

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

Free Abelian Groups: Group Theory

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

Active Learning in Category Theory

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

Introduction to Category Theory: Natural Transformations

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

Categories and Functors: An Introduction

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

Natural Transformations in Group Theory

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

Natural Transformations: Definition

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

Functors: Definition

Introduces functors in category theory and explains their composition.

Introduction to Category Theory: Natural Transformations

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

Natural Transformations: Examples

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