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Categories and Functors
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Related lectures (32)
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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
Explores the concept of category theory, providing examples and discussing the opposite category concept.
Categories and Functors: An Introduction
Provides an overview of categories, functors, and natural transformations in mathematics.
Natural Transformations: Examples and Applications
Explores natural transformations between functors in different categories and their applications.
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.
Homotopy Theory of Chain Complexes
Explores the homotopy theory of chain complexes, focusing on model categories, weak equivalences, and the retraction axiom.
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.
Adjunctions: Constructing Desired Adjoints
Explores constructing desired adjoints in specific categories like Set.
Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
