Elementary Categories, Elementary Toposes (Oxford Logic Guides) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Colin McLarty 作者

Oxford University Press, USA

译者

1996-02-01 出版日期

278 页数

USD 125.00 价格

Paperback

丛书系列

9780198514732 图书编码

Elementary Categories, Elementary Toposes (Oxford Logic Guides) 在线电子书图书标签: 范畴论 topos理论 Mathematics Logic

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Elementary Categories, Elementary Toposes (Oxford Logic Guides) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Elementary Categories, Elementary Toposes (Oxford Logic Guides) 在线电子书图书描述

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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