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Related lectures (32)
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Simplicial and Cosimplicial Objects: Examples and Applications
Covers simplicial and cosimplicial objects in category theory with practical examples.
Natural Transformations
Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.
An Introduction to Category Theory: Products and Coproducts
Demonstrates how adjoints preserve coproducts and products in category theory.
Introduction to Category Theory: Natural Transformations
Covers the concept of natural transformations between functors and their associativity.
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.
Limits and Colimits: Equalizers and Coequalizers
Covers limits and colimits, focusing on equalizers and coequalizers in category theory.
Group Morphisms: G-equivariant, Chapter III
Discusses the formulation of G-morphisms within vector spaces and topological spaces.
Introduction to Category Theory: Functors
Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.
Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Introduction to Category Theory: Natural Transformations
Introduces natural transformations in category theory through concrete examples from group theory.