Topos Theory (Dover Books on Mathematics)

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Автор: P.T. Johnstone

Название: Topos Theory (Dover Books on Mathematics)

Издательство: Dover Publications

Год: 2013

Формат: epub

Размер: 28.1 Mb

Язык: Английский

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.