Skip to main content
Graph
Search
fr
en
Login
Search
All
Categories
Concepts
Courses
Lectures
MOOCs
People
Quizes
Exercises
Publications
Startups
Units
Show all results for
Home
Lecture
Free Abelian Groups: Group Theory
Graph Chatbot
Related lectures (52)
Categories and Functors: An Introduction
Provides an overview of categories, functors, and natural transformations in mathematics.
Free Abelian Group: Construction and Properties
Explores the construction and properties of the free abelian group FAb(X) and its categorical extensions.
Adjunctions and Limits: Exploring Functors and Co-limits
Covers adjunctions and limits, focusing on functors, co-limits, and their applications 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.
Relation between Direct Sum and Hom
Explores the isomorphism between Hom(A, B) and Hom(A, B) for any abelian group B.
Natural Transformations in Group Theory
Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.
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.
Hom Functor: Abelian Groups
Log in to Mediaspace to watch this video
Explores the Hom functor for abelian groups and its relation to direct sums.
Active Learning Session
Log in to Mediaspace to watch this video
Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.
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.
Introduction to Category Theory: Natural Transformations
Log in to Mediaspace to watch this video
Introduces natural transformations in category theory through concrete examples from group 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.
Categorical Perspective: Abelian Groups
Log in to Mediaspace to watch this video
Explores abelian groups from a categorical perspective, discussing the coproduct construction.
Existence of Direct Sums: Abelian Groups
Log in to Mediaspace to watch this video
Demonstrates the existence of direct sums of abelian groups and covers propositions and proofs related to their uniqueness.
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.
Natural Transformations: Examples and Applications
Log in to Mediaspace to watch this video
Explores natural transformations between functors in different categories and their applications.
Natural Transformations
Log in to Mediaspace to watch this video
Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.
Direct Sums: Abelian Groups
Log in to Mediaspace to watch this video
Explores the concept of direct sums in abelian groups, emphasizing the universal property and homomorphisms.
Previous
Page 1 of 3
Next
