Elementary Categories, Elementary Toposes (Oxford Logic Guides) 2024 pdf epub mobi 电子书
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发表于2024-12-24
Elementary Categories, Elementary Toposes (Oxford Logic Guides) 2024 pdf epub mobi 电子书
Elementary Categories, Elementary Toposes (Oxford Logic Guides) 2024 pdf epub mobi 电子书
Elementary Categories, Elementary Toposes (Oxford Logic Guides) 2024 pdf epub mobi 电子书
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图书标签: 范畴论 topos理论 Mathematics Logic
Elementary Categories, Elementary Toposes (Oxford Logic Guides) 2024 pdf epub mobi 电子书 图书描述
This book covers elementary aspects of category theory and topos theory. It has few mathematical prerequisites and uses categorical methods throughout rather than beginning with set theoretic foundations. It works with key notions such as cartesian closedness, adjunctions, regular categories, and the internal logic of a topos. Full statements and elementary proofs are given for the central theorems, including the fundamental theorem of toposes, the sheafification theorem, and the constriction of Grothendieck toposes over any topos as base. Three chapters discuss applications of toposes in detail, namely to sets, to basic differential geometry, and to recursive analysis.
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