Tame Topology and O-Minimal Structures
(Book #248 in the London Mathematical Society Lecture Note Series)
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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.
Format:Paperback
Language:English
ISBN:0521598389
ISBN13:9780521598385
Release Date:May 1998
Publisher:Cambridge University Press
Length:192 Pages
Weight:0.64 lbs.
Dimensions:0.5" x 6.0" x 9.0"
Related Subjects
Combinatorics Geometry & Topology Math Mathematics Pure Mathematics Science & Math TopologyCustomer Reviews
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