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Related lectures (32)
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Natural Transformations in Algebra
Explores natural transformations in algebra, defining functors and isomorphisms.
Categories and Functors
Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
Homomorphisms and Projective Resolutions
Covers homomorphisms, projective modules, and resolutions in chain complexes.
Categories and Functors
Explores building categories from graphs and the encoding of information by functors.
Introduction to Category Theory: Functors
Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.
Group Actions: Equivariance and Functors
Explores equivariance in group actions and functors, demonstrating its importance in group theory.
Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Group Actions: G-objects in a Concrete Category
Explores G-objects in a concrete category and the framework for group actions.
Functors: Categories, Functors, and Natural Transformations
Introduces functors, including identity and forgetful functors, and explores duality functors.
Free Abelian Groups: Group Theory
Explores the concept of free abelian groups as an important left adjoint functor.