Lectures related to Functors: Categories, Functors, and Natural Transformations

Adjunctions and Limits: Exploring Functors and Co-limits

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

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores functors between categories and the conditions for left and right adjoints.

Adjunctions and Functor Categories: Exploring Connections

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

Categories and Functors

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

Categories and Functors: An Introduction

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

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

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

Adjunctions: Constructing Desired Adjoints

Explores constructing desired adjoints in specific categories like Set.

Categories and Functors

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

Transfer of Model Structures

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

Natural Transformations: Examples and Applications

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

Functor Categories Composition and Induced Functors

Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.

Category Theory: Introduction

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

Natural Transformations: Functors and Categories

Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

Limits and colimits in Top

Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.

Limits and colimits: Introduction, Chapter 1(c)

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

Active Learning in Category Theory

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

Homotopical Algebra: Examples and Adjunctions

Explores homotopical algebra examples and adjunctions, focusing on left and right adjoints in group functors and coproducts.

Active Learning Session

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