Topos Theory (Dover Books on Mathematics) (Paperback)

Topos Theory (Dover Books on Mathematics) By P. T. Johnstone Cover Image

Topos Theory (Dover Books on Mathematics) (Paperback)

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One of the best books on a relatively new branch of mathematics, this text is the work of a leading authority in the field of topos theory. Suitable for advanced undergraduates and graduate students of mathematics, the treatment focuses on how topos theory integrates geometric and logical ideas into the foundations of mathematics and theoretical computer science.
After a brief overview, the approach begins with elementary toposes and advances to internal category theory, topologies and sheaves, geometric morphisms, and logical aspects of topos theory. Additional topics include natural number objects, theorems of Deligne and Barr, cohomology, and set theory. Each chapter concludes with a series of exercises, and an appendix and indexes supplement the text.
P. T. Johnstone is Professor of the Foundations of Mathematics at the University of Cambridge and a Fellow of St. John's College, Cambridge.
Product Details ISBN: 9780486493367
ISBN-10: 0486493369
Publisher: Dover Publications
Publication Date: January 15th, 2014
Pages: 400
Language: English
Series: Dover Books on Mathematics