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Categories and Functors
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Related lectures (32)
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Natural Transformations in Algebra
Explores natural transformations in algebra, defining functors and isomorphisms.
Category Theory: Introduction
Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.
Active Learning in Category Theory
Explores examples of categories, morphisms, groupoids, and functors in category theory.
Categories and Functors
Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
Natural Transformations
Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.
Adjunctions and Limits: Exploring Functors and Co-limits
Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.
Transfer of Model Structures
Covers the transfer of model structures through adjunctions in the context of model categories.
Simplicial and Cosimplicial Objects: Examples and Applications
Covers simplicial and cosimplicial objects in category theory with practical examples.
Limits and colimits in Top
Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Categories: Functors, and Natural Transformations
Introduces categories, concrete examples, opposite categories, and isomorphisms, leading to groupoids.
