| Tame Topology and O-Minimal Structures Contributor(s): Van Den Dries, Lou (Author), Dries, L. P. D. Van Den (Author), Cassels, J. W. S. (Editor) |
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ISBN: 0521598389 ISBN-13: 9780521598385 Publisher: Cambridge University Press OUR PRICE: $75.99 Product Type: Paperback - Other Formats Published: May 1998 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - General - Mathematics | Topology - General - Mathematics | Logic |
| Dewey: 514 |
| LCCN: 98-17407 |
| Series: London Mathematical Society Lecture Notes |
| Physical Information: 0.47" H x 6" W x 9" (0.64 lbs) 192 pages |