Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Home

Lecture

Functors and Natural Transformations

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (35)

Equivalences de Catégories et Adjonctions Log in to Mediaspace to watch this video

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

Homotopical Algebra Log in to Mediaspace to watch this video

Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.

Natural Learning Session Log in to Mediaspace to watch this video

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

Natural Transformations: Examples and Applications Log in to Mediaspace to watch this video

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

Active Learning in Category Theory Log in to Mediaspace to watch this video

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

Group Theory: Adjoint Functors and G-sets Log in to Mediaspace to watch this video

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

Introduction to Category Theory: Functors Log in to Mediaspace to watch this video

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

Natural Transformations in Algebra Log in to Mediaspace to watch this video

Explores natural transformations in algebra, defining functors and isomorphisms.

Category Theory: G-sets and Left Adjoint Functor Log in to Mediaspace to watch this video

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

Introduction to Category Theory: Natural Transformations Log in to Mediaspace to watch this video

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

Category Theory: Introduction Log in to Mediaspace to watch this video

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

Group Actions and Functors Log in to Mediaspace to watch this video

Covers group quotient, group actions, and functors connecting sets and G-sets.

Introduction to Category Theory: Adjoint Functors Log in to Mediaspace to watch this video

Introduces adjoint functors in category theory, emphasizing their significance and applications in establishing relationships between different categories.

Groups and Numbers: Mathematical Elements on Groups Log in to Mediaspace to watch this video

Explores fundamental properties of groups and numbers, emphasizing equivalence classes and subgroup concepts.

Exponential Maps: Properties and Applications in Lie Groups Log in to Mediaspace to watch this video

Covers the properties of the exponential map in Lie groups and their algebras, including smoothness and the relationship between subgroups and algebras.

Page 2 of 2