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portada toposes and local set theories,an introduction
toposes and local set theories,an introductiontoposes and local set theories,an introduction
Type
Physical Book
Author
Publisher
Language
English
Pages
267
Format
Paperback
Dimensions
21.4 x 14.0 x 1.4 cm
Weight
0.29 kg.
ISBN
0486462862
ISBN13
9780486462868
Categories

toposes and local set theories,an introduction

J. L. Bell (Author) · Dover Publications · Paperback

toposes and local set theories,an introduction - Bell, J. L.

New Book Imported to Austria
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Synopsis "toposes and local set theories,an introduction"

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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