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Tensor-hom adjunction
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Adjunctions and Push Outs
Covers adjunctions, push outs, colimits, and discrete fibers in coverings, emphasizing group actions and symmetries.
Category Theory: Natural Transformations and Adjunctions
Explores natural transformations and adjunctions in category theory, illustrating concepts through concrete examples and discussing the conditions for the existence of adjoints.
Infinity Category Theory: Lecture 2
Explores infinity category theory, covering ABB, Kao-cosmos, homotopy, categories, and equivalences.
Free Actions, Ch III: Group Actions
Explains the concept of free actions and their preservation properties in group theory.
Introduction to Category Theory: Adjunctions (Part 1)
Explores the definition of adjunctions and the relationship between functors.
Adjunctions: Trivial and Application Quotient
Explores adjunctions, emphasizing trivial and application quotient cases in functors, orbits, and fixed points.
An Interesting Functor: A Characterization of Adjunctions
Introduces interesting functors associated with a given couple of functors.
Group Theory: Verifications
Explores adjunctions in Group Theory, discussing definitions, comparisons, and functorial structure preservation.
Fixed Points and Orbits Analysis: Group Actions
Explores the definition of orbits and fixed points of a G-object in any category, focusing on G-equivariant applications.
Mutually Inverse Alpha and Beta
Explores adjunctions and mutual inverses alpha and beta in category theory.
Theory: Adjunctions
Explores the theory of adjunctions, covering their definition, properties, and applications through examples and exercises.
Triangular Identities
Covers triangular identities, natural transformations, commutative diagrams, and adjunction notation in group and category theory.
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