Lectures related to Limits and Colimits: Understanding Categories

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 in Functor Categories

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

Limits and colimits: Introduction, Chapter 1(c)

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

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.

Simplicial and Cosimplicial Objects: Examples and Applications

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

Categories and Functors: An Introduction

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

Category Theory: G-sets and Left Adjoint Functor

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

Natural Transformations: Examples and Applications

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

Natural Transformations

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

Limits and colimits as adjoints: Chapter 1(c)

Explores the characterization of limits and colimits as adjoints 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 Learning Session

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

Introduction to Category Theory: Natural Transformations

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

Categories and Functors

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

Active Learning in Category Theory

Explores examples of categories, morphisms, groupoids, and functors 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.

Adjunctions and Push Outs

Covers adjunctions, push outs, colimits, and discrete fibers in coverings, emphasizing group actions and symmetries.

Category Theory: Introduction

Explores the concept of category theory, providing examples and discussing the opposite category concept.

Natural Transformations: Examples

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