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Related lectures (32)
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Introduction to Category Theory: Functors
Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.
Equivalences of Categories
Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.
Construction of Free Action Functor
Explores the construction of the free action functor in group theory and category theory, emphasizing group actions and their properties.
Lifting properties and model categories
Covers the study of lifting properties in categories, focusing on the left and right lifting properties.
Homotopy Theory of Chain Complexes
Explores the homotopy theory of chain complexes, including path object construction and fibrations.
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.
Active Learning in Category Theory
Explores examples of categories, morphisms, groupoids, and functors in category theory.
Group Theory: Recalls
Offers a recap on group theory, focusing on linear applications and bases.
Natural Learning Session
Explores coproducts, universal properties, and natural transformations in category theory.
Natural Transformations: Examples and Applications
Explores natural transformations between functors in different categories and their applications.
