Zariski geometries
Subtitle: geometry from the logician's point of view
By: Boris Zilber
Series: London Mathematical Society lecture note series -- 360
Publisher: Cambridge University Press
Published: 2010
Place of publication: New York
Language: eng
Number of pages: 212
ISBN-13: 9780521735605
Description: "This book presents methods and results from the theory of Zariski structures and discusses their applications in geometry as well as various other mathematical fields. Its logical approach helps us understand why algebraic geometry is so fundamental throughout mathematics and why the extension to noncommutative geometry, which has been forced by recent developments in quantum physics, is both natural and necessary. Beginning with a crash course in model theory, this book will suit not only model theorists but also readers with a more classical geometric background"--Provided by publisher.
Notes: Includes bibliographical references (p. 207-209) and index.
Table of contents: title: Machine generated contents note: 1. Introduction; 2. Topological structures; 3. Noetherian Zariski structures; 4. Classification results; 5. Non-classical Zariski geometries; 6. Analytic Zariski geometries; A. Basic model theory; B. Geometric stability theory; References; Index.