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Lecture
Categories and Functors: An Introduction
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Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Functors and Adjunctions
Explores functors between categories and the conditions for left and right adjoints.
Category Theory: Introduction
Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.
Natural Transformations in Group Theory
Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.
Functors: Examples
Explores identity and forgetful functors in category theory, showcasing their role in preserving structure and relationships between categories.
Functors: Categories, Functors, and Natural Transformations
Introduces functors, including identity and forgetful functors, and explores duality functors.
Introduction to Category Theory: Natural Transformations
Covers the concept of natural transformations between functors and their associativity.
Functor Categories Composition and Induced Functors
Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.
Functors: Definition
Introduces functors in category theory and explains their composition.
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.