Sketches of an Elephant: A Topos Theory Compendium: Volume 2 by Peter T. JohnstoneSketches of an Elephant: A Topos Theory Compendium: Volume 2 by Peter T. Johnstone

Sketches of an Elephant: A Topos Theory Compendium: Volume 2

byPeter T. Johnstone

Hardcover | June 15, 2002

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Topos Theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its power from the interplay of ideas drawn from these different areas. Because of this, an account of topos theory which approaches the subject fromone particular direction can only hope to give a partial picture; the aim of this compendium is to present as comprehensive an account as possible of all the main approaches and thereby to demonstrate the overall unity of the subject. The material is organized in such a way that readers interestedin following a particular line of approach may do so by starting at an appropriate point in the text.
Dr P.T. Johnstone Reader in the Foundations of Mathematics Department of Pure Mathematics and Mathematical Statistics University of Cambridge Cambridge CB3 0BW
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Title:Sketches of an Elephant: A Topos Theory Compendium: Volume 2Format:HardcoverDimensions:715 pages, 9.21 × 6.14 × 1.67 inPublished:June 15, 2002Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198515987

ISBN - 13:9780198515982

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Table of Contents

C1. Sheaves on a LocaleC2. Sheaves on a SiteC3. Classes of Geometric MorphismsC4. Local Compactness and ExponentiabilityC5. Toposes as GroupoidsD1. First-Order Categorical LogicD2. SketchesD3. Classifying ToposesD4. Higher-Order LogicD5. Aspects of Finiteness