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Mutually Inverse Alpha and Beta
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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.
Adjunctions and Limits: Exploring Functors and Co-limits
Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.
Natural Learning Session
Explores coproducts, universal properties, and natural transformations in category theory.
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.
Lifting Properties in Model Categories: An Overview
Provides an overview of lifting properties in model categories, focusing on their definitions and implications for morphisms and commutative diagrams.
Homotopical Algebra
Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.
Category Theory: Introduction
Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.
Natural Transformations
Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.
Introduction to Category Theory: Natural Transformations
Covers the concept of natural transformations between functors and their associativity.
Introduction to Adjunctions in Category Theory
Introduces adjunctions in category theory, exploring necessary conditions and natural transformations for adjoint functors.
