Topos Theory - Dover Books on Mathematics | Advanced Mathematical Concepts for Researchers & Graduate Students | Perfect for Algebraic Geometry & Category Theory Studies
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SKU:47180195
Product Description
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.
Customer Reviews
Must read for an algebraist, for a logician, for a categorist. Takes a lot of time to read. You can learn the proof of the continuum axiom independence (how else?) You'll know how things work in logic, in TLA+, in "fuzzy logic", etc, and understand the underlying ideas.But it's hard. And it takes time.I read this book about four times, and took detailed notes - twice. It helps.
