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Introduction to Category Theory: Adjunctions (Part 1)
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Related lectures (32)
Active Learning Session
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Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.
Introduction to Category Theory: Natural Transformations
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Covers the concept of natural transformations between functors and their associativity.
Limits and Colimits: Understanding Categories
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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.
Category Theory: Introduction
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Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.
Natural Transformations in Algebra
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Explores natural transformations in algebra, defining functors and isomorphisms.
Natural Learning Session
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Explores coproducts, universal properties, and natural transformations in category theory.
Active Learning in Category Theory
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Explores examples of categories, morphisms, groupoids, and functors in category theory.
Active Learning Session: Group Theory
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Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.
Category Theory: Introduction
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Explores the concept of category theory, providing examples and discussing the opposite category concept.
Model Categories and Homotopy Theory: Functorial Connections
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Covers the relationship between model categories and homotopy categories through functors preserving structural properties.
Introduction to Category Theory: Functors
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Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.
Group Actions and Functors
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Covers group quotient, group actions, and functors connecting sets and G-sets.
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