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Paul Feit
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دانلود کتاب 485 Axiomization of Passage from "Local" Structure to "Global" Object
by Paul Feit|
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عنوان فارسی: 485 Axiomization گذر از u0026 quot؛ را محلی و u0026 quot؛ ساختار به u0026 quot؛ جهانی و u0026 quot؛ هدف |
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جزییات کتاب
Requiring only familiarity with the terminology of categories, this book will interest algebraic geometers and students studying schemes for the first time. Feit translates the geometric intuition of local structure into a purely categorical format, filling a gap at the foundations of algebraic geometry. The main result is that, given an initial category of "local" objects and morphisms, there is a canonical enlargement of a category which contains all 'global' objects whose local structure derives from which is functorially equivalent to the traditional notion of 'global objects'. Using this approach, Feit unifies definitions for numerous technical objects of algebraic geometry, including schemes, Tate's rigid analytic spaces, and algebraic spaces.
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