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Tame Topology and O-minimal Structures by L. P. D. van den Dries
Tame Topology and O-minimal Structures by L. P. D. van den Dries
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Tame Topology and O-minimal Structures

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Description

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.
Release date NZ
May 7th, 1998
Audience
  • Professional & Vocational
Pages
192
Dimensions
152x228x12
ISBN-13
9780521598385
Product ID
1978799

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