Lectures related to Natural Transformations and Functors

Natural Transformations: Examples and Applications

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

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

Introduction to Category Theory: Natural Transformations

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

Active Learning Session

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

Introduction to Category Theory: Natural Transformations

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

Simplicial and Cosimplicial Objects: Examples and Applications

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

Natural Learning Session

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

Introduction to Category Theory: Functors

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

Categories and Functors: An Introduction

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

Limits and colimits: Introduction, Chapter 1(c)

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

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.

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.

Natural Transformations in Algebra

Explores natural transformations in algebra, defining functors and isomorphisms.

Functors: Definition

Introduces functors in category theory and explains their composition.

Active Learning in Category Theory

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

Limits and colimits as adjoints: Chapter 1(c)

Explores the characterization of limits and colimits as adjoints in category theory.

Equivalences of Categories

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