Tame Topology and O-minimal Structures (London Mathematical Society Lecture Note Series, Vol. 248) (London Mathematical Society Lecture Note Series, Series Number 248) - Softcover

Dries, L. P. D. Van Den

Softcover

ISBN 10: 0521598389 ISBN 13: 9780521598385

Publisher: Cambridge University Press, 1998

Synopsis

Following their introduction in the early 1980s, o-minimal structures have provided an elegant and surprisingly efficient generalization of semialgebraic and subanalytic geometry. This book gives a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. It 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.

About this title

Book Description

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. This book should be of interest to model theorists, analytic geometers and topologists.

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

Edition details

• Publisher: Cambridge University Press
• Publication date: 1998
• ISBN 10: 0521598389
• ISBN 13: 9780521598385
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 192