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
Categories and Functors: An Introduction
Graph Chatbot
Related lectures (55)
Adjunctions and Limits: Exploring Functors and Co-limits
Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.
Simplicial and Cosimplicial Objects: Examples and Applications
Covers simplicial and cosimplicial objects in category theory with practical examples.
Adjunctions and Functor Categories: Exploring Connections
Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
Categories and Functors
Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
Active Learning: Functors and Geometric Realization
Covers the computation of nerves and geometric realization in simplicial sets, along with functors into and out of the category of simplicial sets.
Transfer of Model Structures
Covers the transfer of model structures through adjunctions in the context of model categories.
Categories and Functors
Explores building categories from graphs and the encoding of information by functors.
Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Functors and Adjunctions
Explores functors between categories and the conditions for left and right adjoints.
Natural Transformations in Group Theory
Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.
Functors: Examples
Explores identity and forgetful functors in category theory, showcasing their role in preserving structure and relationships between categories.
Functors: Categories, Functors, and Natural Transformations
Introduces functors, including identity and forgetful functors, and explores duality functors.
Functor Categories Composition and Induced Functors
Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.
Functors: Definition
Introduces functors in category theory and explains their composition.
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 as adjoints: Chapter 1(c)
Explores the characterization of limits and colimits as adjoints in category theory.
Free Abelian Groups: Group Theory
Log in to Mediaspace to watch this video
Explores the concept of free abelian groups as an important left adjoint functor.
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.
Natural Transformations in Algebra
Log in to Mediaspace to watch this video
Explores natural transformations in algebra, defining functors and isomorphisms.
Previous
Page 1 of 3
Next