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The sheaf property

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Sheaf theory forms an important language for expressing local-global relationships that are found typically in geometry. In this video, we motivate and define the abstract notion of a sheaf by looking at the sheaf of continuous functions. The key is the sheaf property which we go through in detail.
This is the first video in a playlist on a "User's guide to coherent sheaves".
This is the first video in a playlist on a "User's guide to coherent sheaves".
The sheaf property
Who Gives a Sheaf? Part 1: A First Example
20.2 Properties of sheaf cohomology (Commutative Algebra and Algebraic Geometry)
20.1 Sheaf cohomology (Commutative Algebra and Algebraic Geometry)
A Brief Overview of Sheaf Theory - Part 1
Sheel Ganatra: Functoriality and sheaf property for wrapped Fukaya categories
Modern Algebraic Geometry: The Structure Sheaf (of an Affine Scheme) (9)
Justin Curry (05/18/22): Exemplars of Sheaf Theory in TDA
Ideal Sheaf
Sheaf-Theoretic Look at Monodromy
Who Gives a Sheaf? [With typos! (see comments)] Part 11: A universal property
16.2 (Affine) schemes: the structure sheaf (Commutative Algebra and Algebraic Geometry)
Sheaf cohomology
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The canonical sheaf
Who Gives a Sheaf? Part 2: A non-example
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Sheaf - Autogenic (Full EP) [Synthwave / Retrowave]
Presheaves and Sheaves
Tensor products and sheaf Hom of coherent sheaves
Sheaf - Reflections
Chris Heunen: 'Sheaf representation of monoidal categories'
Introduction to Affine Schemes : Sheaf Structure on Spec A
Sheaf Regular functions
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