Following their introduction in the early 1980s, ominimal structures have provided an elegant and surprisingly efficient generalization of semialgebraic and subanalytic geometry. This book gives a selfcontained treatment of the theory of ominimal 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 ominimal setting and show how these notions are easier to handle than in ordinary topology. The remarkable combinatorial property of ominimal structures, the VapnikChervonenkis property, is also covered. This book should be of interest to model theorists, analytic geometers and topologists.

Authors: van der Dries L.  Pages: 96 Year: 1998 
Tags: structures ominimal topology   Customers who bought this item also bought: 