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Lecture
Adjunctions: Trivial and Application Quotient
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Related lectures (32)
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Group Theory: Adjoint Functors and G-sets
Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.
Important Facts of Fixed Points and Orbits
Explores group actions, fixed points, orbits, Equation of Class, and Burnside's Lemma.
General Group Actions
Explores group actions on spaces, including fixed points and non-trivial actions.
Functors: Categories, Functors, and Natural Transformations
Introduces functors, including identity and forgetful functors, and explores duality functors.
Group Actions and Functors
Covers group quotient, group actions, and functors connecting sets and G-sets.
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.
Theory: Adjunctions
Introduces adjunctions between categories, emphasizing equivalence and natural transformations.
Transfer of Model Structures
Covers the transfer of model structures through adjunctions in the context of model categories.
Categories and Functors: An Introduction
Provides an overview of categories, functors, and natural transformations in mathematics.
Homotopical Algebra: Examples and Adjunctions
Explores homotopical algebra examples and adjunctions, focusing on left and right adjoints in group functors and coproducts.
