Sheaves and Modules

In course

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Description

This lecture covers the concepts of sheaves and modules, starting with the definition of sheaves of Ox-modules and morphisms between them. It then delves into the sheaf associated to a presheaf, morphisms of sheaves, and sheafification. The lecture also discusses the direct image of sheaves under morphisms, the concept of cocalization, and the properties of sheafification. Examples and propositions are provided to illustrate the theoretical concepts.

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Instructor

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Official source

https://mediaspace.epfl.ch/media/0_d7xx034n

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Geometry: Algebraic geometry

Topology: Algebraic topology

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