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Related lectures (32)
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Introduction to Category Theory: Examples
Introduces the theory of categories through examples and discusses the product of categories.
Introduction to Category Theory: Categories and Examples
Covers examples of categories like sets, groups, and vector spaces, exploring composition and product formation.
Quasicategories and Homotopy Categories
Covers the construction of homotopy categories from quasicategories, including definitions, compositions, and homotopy relations.
Sheafification of Presheaves
Covers the sheafification process of presheaves, emphasizing injectivity and surjectivity.
Morphisms between Affine Varieties
Covers defining morphisms between affine algebraic varieties and constructing morphisms using algebraic homomorphisms.
Group Operations and Homomorphisms in Abelian Groups
Explores operations on abelian groups, Homomorphisms, adjoints, and morphisms in group theory.
Categories and Functors: An Introduction
Provides an overview of categories, functors, and natural transformations in mathematics.
Finite Maps: Morphism of Schemes
Covers morphism of schemes, affine covering, integral homomorphism, and properties of finite maps.
Modern Algebraic Geometry
Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.
Lifting properties, Chapter 2(a): Definition and elementary properties of model categories
Covers morphisms with lifting properties, pushouts, pullbacks, and the uniqueness in the universal property of pushouts.
Left Adjoint Preserves Coproducts
Explores how left adjoints preserve coproducts in category theory with detailed proofs and morphism diagrams.
Group Morphisms: G-equivariant, Chapter III
Discusses the formulation of G-morphisms within vector spaces and topological spaces.
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