Articles liés à Toposes and Local Set Theories: An Introduction

Toposes and Local Set Theories: An Introduction - Couverture souple

Bell, J. L.

 
9780486462868: Toposes and Local Set Theories: An Introduction
Couverture souple
ISBN 10 : 0486462862 ISBN 13 : 9780486462868
Editeur : Dover Publications Inc., 2008

Synopsis

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.

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À propos de l'auteur

J. L. Bell is a Professor at the University of Western Ontario and co-author of Dover's Models and Ultraproducts.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Dover Publications Inc.
Date d'édition
2008
Langue
anglais
ISBN 10 
0486462862
ISBN 13 
9780486462868
Reliure
Broché
Nombre de pages
288
Coordonnées du fabricant
non disponible
Personne responsable
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