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Active Learning Session: Group Theory
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Related lectures (55)
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.
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.
Simplicial and Cosimplicial Objects: Examples and Applications
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Pushouts in Group Theory: Universal Properties Explained
Covers the construction and universal properties of pushouts in group theory.
Functors and Adjunctions
Explores functors between categories and the conditions for left and right adjoints.
Adjunctions: Constructing Desired Adjoints
Explores constructing desired adjoints in specific categories like Set.
Examples, Chapter 1(b): Adjunctions
Presents concrete examples of adjunctions between Set and Top categories.
Transfer of Model Structures
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The Role of Symmetries
Delves into symmetries in physics, covering group theory, perturbation, and quantification.
Homotopy Theory: Cylinders and Path Objects
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Categories and Functors
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Lifting properties and model categories
Covers the study of lifting properties in categories, focusing on the left and right lifting properties.
Adjunctions and Functor Categories: Exploring Connections
Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.
Equivalences of Categories
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Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.
Linear Applications and Simple Objects
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Covers the bijection between linear applications from L(X) to V and applications from X to U(V).
Category Theory: Introduction
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Explores the concept of category theory, providing examples and discussing the opposite category concept.
Equivalences de Catégories et Adjonctions
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Explores category equivalences, adjunctions, and group actions in category theory.
Active Learning in Category Theory
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Explores examples of categories, morphisms, groupoids, and functors in category theory.
Group Theory Fundamentals
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Introduces the basics of group theory, defining groups, categories, and groupoids.
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