Lectures related to Second Triangular Identity

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Simplicial and Cosimplicial Objects: Examples and Applications

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

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 Limits: Exploring Functors and Co-limits

Covers adjunctions and limits, focusing on functors, co-limits, and their applications 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 Functor Categories

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

Introduction to Category Theory: Adjoint Functors

Explores a concrete example of adjunction in category theory and covers natural transformations and group theory concepts.

Natural Transformations: Examples and Applications

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

Triangular Identities

Covers triangular identities, natural transformations, commutative diagrams, and adjunction notation in group and category theory.

Natural Transformations: Adjunctions and Triangular Identities

Explores adjunctions, triangular identities, and natural transformations in category theory.

Transfer of Model Structures

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

Natural Transformations: Examples

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

Natural Learning Session

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

Active Learning in Category Theory

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

Introduction to Category Theory: Adjunctions (Part 1)

Explores the definition of adjunctions and the relationship between functors.

Equivalences de Catégories et Adjonctions

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

Natural Transformations

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

Introduction to Adjunctions in Category Theory

Introduces adjunctions in category theory, exploring necessary conditions and natural transformations for adjoint functors.