Elementary Categories, Elementary Toposes (Oxford Logic Guides)

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Elementary Categories, Elementary Toposes (Oxford Logic Guides) Description

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.

Details

OPC P52RY7F
Codes 0198514735 (ISBN-10)
9780198514732 (ISBN)
External product information

Disclaimer: The information below is provided by various external sources and should be used as a guide only.

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.

Alternative names:

  • ISBN Elementary Categories Elementary Toposes book 278 pages

Detailed Product Information

Features

Release date (DD/MM/YYYY)27/04/1995
Number of pages278 pages
Written byColin McLarty
PublisherOxford University Press
Suggested genderAny gender
International Standard Book Number (ISBN)9780198514732

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