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Lecture
Review of Simplicial Sets
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Related lectures (32)
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Categories and Functors
Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
Categories and Functors: An Introduction
Provides an overview of categories, functors, and natural transformations in mathematics.
Homotopical Algebra: Functor and Adjunctions
Delves into homotopical algebra, defining functors and adjunctions with examples.
Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Functors: Categories, Functors, and Natural Transformations
Introduces functors, including identity and forgetful functors, and explores duality functors.
Natural Transformations in Algebra
Explores natural transformations in algebra, defining functors and isomorphisms.
Limits and colimits: Concrete Examples
Explores concrete examples of limits and colimits in functors and different categories.
Adjunctions and Functor Categories: Exploring Connections
Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.
Adjunctions: Constructing Desired Adjoints
Explores constructing desired adjoints in specific categories like Set.
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.
