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Lecture
Introduction to Category Theory: Functors
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Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Functors: Definition
Introduces functors in category theory and explains their composition.
Introduction to Category Theory: Adjoint Functors
Explores a concrete example of adjunction in category theory and covers natural transformations and group theory concepts.
Active Learning in Category Theory
Explores examples of categories, morphisms, groupoids, and functors in category theory.
Natural Transformations: Definition
Covers the definition and properties of natural transformations between functors in category theory.
Natural Transformations: Functor L
Explores natural transformations in category theory with a focus on the functor L and its algebraic properties.
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.
Natural Transformations: Functors and Categories
Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.
Functor Categories Composition and Induced Functors
Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.
Category Theory: Introduction
Explores the concept of category theory, providing examples and discussing the opposite category concept.
