Code: 04033267

Elementary Categories, Elementary Toposes

Name: Elementary Categories, Elementary Toposes
Brand: Oxford University Press
SKU: 04033267
Price: 142.06 EUR
Availability: InStock
Author: Colin McLarty
ISBN: 9780198514732

by Colin McLarty

Language: English
Binding: Paperback
Number of pages: 278
Publisher: Oxford University Press, 1995
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Book synopsis

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.