[PDF.46yg] Axiomization of Passage from "Local" Structure to "Global" Object (Memoirs of the American Mathematical Society)
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Axiomization of Passage from "Local" Structure to "Global" Object (Memoirs of the American Mathematical Society)
Paul Feit
[PDF.fv97] Axiomization of Passage from "Local" Structure to "Global" Object (Memoirs of the American Mathematical Society)
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| #9441250 in Books | 1993-01 | Original language:English | PDF # 1 | 10.00 x7.00 x.50l, | File type: PDF | 107 pages|
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 ${\mathcal C}$ of ""local"" objects and morphisms, there is a canonical enlargement of ${\mathcal C}$ to a category ${...
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