Dover Books on Mathematics Ser.: Toposes and Local Set Theories : An Introduction by J. L. Bell (2008, Perfect)

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About this product

Product Identifiers

PublisherDover Publications, Incorporated

ISBN-100486462862

ISBN-139780486462868

eBay Product ID (ePID)60673446

Product Key Features

Number of Pages288 Pages

LanguageEnglish

Publication NameToposes and Local Set Theories : an Introduction

SubjectSet Theory, Logic

Publication Year2008

TypeTextbook

Subject AreaMathematics

AuthorJ. L. Bell

SeriesDover Books on Mathematics Ser.

FormatPerfect

Dimensions

Item Height0.6 in

Item Weight10.4 Oz

Item Length8.4 in

Item Width5.5 in

Additional Product Features

Intended AudienceCollege Audience

LCCN2007-035598

Dewey Edition22

IllustratedYes

Dewey Decimal512/.62

Table Of Content1. Elements of category theory2. Introducing toposes3. Local set theories4. Fundamental properties of toposes5. From logic to sheaves6. Locale-valued sets7. Natural numbers and real numbers8. Epilogue: the wider significance of topos theoryAppendix: Geometric theories and classifying toposesHistorical and bibliographical notesReferencesIndex of symbolsIndex of terms

SynopsisThis introduction to topos theory examines local set theories, fundamental properties of toposes, sheaves, locale-valued sets, and natural and real numbers in local set theories. 1988 edition., This text introduces topos theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory, and intuitionistic logic. Topics include local set theories, fundamental properties of toposes, sheaves, local-valued sets, and natural and real numbers in local set theories. 1988 edition., Topos theory has led to unexpected connections between classical and constructive mathematics. This text explores Lawvere and Tierney's concept of topos theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory, and intuitionistic logic. A virtually self-contained introduction, this volume presents toposes as the models of theories -- known as local set theories -- formulated within a typed intuitionistic logic. The introductory chapter explores elements of category theory, including limits and colimits, functors, adjunctions, Cartesian closed categories, and Galois connections. Succeeding chapters examine the concept of topos, local set theories, fundamental properties of toposes, sheaves, locale-valued sets, and natural and real numbers in local set theories. An epilogue surveys the wider significance of topos theory, and the text concludes with helpful supplements, including an appendix, historical and bibliographical notes, references, and indexes.

LC Classification NumberQA169.B45 2008