Elementary Categories, Elementary Toposes

By: Colin McLarty

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Paperback | 27 April 1995

At a Glance

Paperback
280 Pages

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23.3 x 15.5 x 1.6

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The book covers elementary aspects of category theory and topos theory for graduate students in mathematics, computer science, and logic; it has few mathematical prerequisites, and uses categorical methods throughout, rather than beginning with set theoretical foundations. Working with key concepts such as Cartesian closedness, adjunctions, regular categories, and the internal logic of a topos, the book features full statements and elementary proofs for the central theorems, including the fundamental theorem of toposes, the sheafification theorem, and the construction of Grothendieck toposes over any topos as base. Other chapters discuss applications of toposes in detail, namely to sets, to basic differential geometry, and to recursive analysis.

Industry Reviews

`It has the virtue of bringing together a great deal of basic material which is otherwise scattered about in research texts and articles.' Studia Logica `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

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