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Related lectures (32)
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Properties of Cartesian Products and Disjoint Unions
Introduces essential properties of Cartesian products and disjoint unions in the theory of groups and categories.
Natural Transformations: Epsilon Transformation
Explores the epsilon transformation in group theory and category theory, emphasizing linearity and naturality.
Categories and Functors
Explores building categories from graphs and the encoding of information by functors.
Active Learning Session: Group Theory
Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.
Introduction to Group Theory: Motivation
Introduces adjunctions in Group Theory with examples of natural transformations and isomorphisms.
Categories and Functors
Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
Vector Space Dimension and Bases
Covers the concept of dimension in a vector space and bases.
Category Theory: Natural Transformations and Adjunctions
Explores natural transformations and adjunctions in category theory, illustrating concepts through concrete examples and discussing the conditions for the existence of adjoints.
Introduction to Category Theory: Adjunctions (Part 1)
Explores the definition of adjunctions and the relationship between functors.
Functors: Categories, Functors, and Natural Transformations
Introduces functors, including identity and forgetful functors, and explores duality functors.
