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Lecture
Adjunctions: Constructing Desired Adjoints
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Functors and Adjunctions
Explores functors between categories and the conditions for left and right adjoints.
Adjunctions and Limits: Exploring Functors and Co-limits
Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
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Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
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Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Adjunctions and Functor Categories: Exploring Connections
Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.
Simplicial and Cosimplicial Objects: Examples and Applications
Covers simplicial and cosimplicial objects in category theory with practical examples.
Homotopical Algebra: Functor and Adjunctions
Delves into homotopical algebra, defining functors and adjunctions with examples.
Natural Transformations in Algebra
Explores natural transformations in algebra, defining functors and isomorphisms.
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Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.
