Wow! eBook
LMS: 248 Tame Topology & o-minimal
Author(s): Dries (Author)
- Publisher: Cambridge University Press
- Publication Date: 12 Jan. 2008
- Language: English
- Print length: 192 pages
- ISBN-10: 0521598389
- ISBN-13: 9780521598385
Book Description
Following their introduction in the early 1980s o-minimal structures were found to provide an elegant and surprisingly efficient generalization of semialgebraic and subanalytic geometry. These notes give a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. The book starts with an introduction and overview of the subject. Later chapters cover the monotonicity theorem, cell decomposition, and the Euler characteristic in the o-minimal setting and show how these notions are easier to handle than in ordinary topology. The remarkable combinatorial property of o-minimal structures, the Vapnik-Chervonenkis property, is also covered. This book should be of interest to model theorists, analytic geometers and topologists.
Editorial Reviews
Review
“…indispensable to any student or research interested in o-minimal structures. …written with remarkable precision and clarity…” Bulletin of the AMS
“This is an excellent textbook…” Bulletin of Symbolic Logic
Book Description
These notes give a self-contained treatment of the theory of o-minimal structures.
