Sheaves: Hartshorne I.1

Related lectures (31)

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Explores the Hom functor for abelian groups and its relation to direct sums.

Covers the definitions and properties of ringed spaces, including morphisms and examples of locally ringed spaces.

Covers sheaves and modules, including morphisms, sheafification, cocalization, and direct image properties.

Explores inverse limits, profinite completions, and Hausdorff topologies in group theory and topology.

Explores the isomorphism between Hom(A, B) and Hom(A, B) for any abelian group B.

Explores operations on abelian groups, Homomorphisms, adjoints, and morphisms in group theory.

Explores building categories from graphs and the encoding of information by functors.

Explores the construction and properties of the free abelian group FAb(X) and its categorical extensions.

Explores free abelian groups, homomorphisms, exact sequences, and functors in group theory.

Discusses the formulation of G-morphisms within vector spaces and topological spaces.