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Categories and Functors
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Related lectures (32)
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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.
Category Theory: Introduction
Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.
Categories and Functors
Explores building categories from graphs and the encoding of information by functors.
Natural Transformations in Algebra
Explores natural transformations in algebra, defining functors and isomorphisms.
Simplicial and Cosimplicial Objects: Examples and Applications
Covers simplicial and cosimplicial objects in category theory with practical examples.
Active Learning in Category Theory
Explores examples of categories, morphisms, groupoids, and functors in category theory.
Adjunctions and Functor Categories: Exploring Connections
Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.
Functors and Adjunctions
Explores functors between categories and the conditions for left and right adjoints.
Natural Transformations: Functors and Categories
Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.