Elementary Categories, Elementary Toposes

Paperback | April 1, 1995

byColin McLarty

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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, regularcategories, 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 discussapplications of toposes in detail, namely to sets, to basic differential geometry, and to recursive analysis.

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From the Publisher

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, regularcategories, and the internal logic of a topos. Full s...

Colin McLarty is at Case Western Reserve University, Cleveland, Ohio.
Format:PaperbackDimensions:278 pages, 9.09 × 6.06 × 0.63 inPublished:April 1, 1995Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198514735

ISBN - 13:9780198514732

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`A comprehensive introduction to elementary category theory and elementary topos theory . . . The book is well written . . . Ideal as an introduction for a researcher who wants to understand some of the more advanced material on the connection between category theory and logic.'Computing Review, February 1997