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Natural Transformations and Functors
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Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Natural Transformations in Group Theory
Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.
Natural Transformations: Definition
Covers the definition and properties of natural transformations between functors in category theory.
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: 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 in Algebra
Explores natural transformations in algebra, defining functors and isomorphisms.
Functors: Definition
Introduces functors in category theory and explains their composition.
Active Learning in Category Theory
Explores examples of categories, morphisms, groupoids, and functors in category theory.
Limits and colimits as adjoints: Chapter 1(c)
Explores the characterization of limits and colimits as adjoints in category theory.
Equivalences of Categories
Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.
