TAME TOPOLOGY AND O-MINIMAL STRUCTURES by L. P. D. van den Dries ( 9780511525919 )

Item Details

Title:

TAME TOPOLOGY AND O-MINIMAL STRUCTURES

By:

Format:

Electronic book text

List price:	£85.00
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ISBN 10:

0511525915

ISBN 13:

9780511525919

Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

30 September, 2009

Series:

London Mathematical Society Lecture Note Series 248

Description:

These notes give a self-contained treatment of the theory of o-minimal structures.

Synopsis:

Following their introduction in the early 1980s o-minimal structures were found to provide an elegant and surprisingly efficient generalization of semialgebraic and subanalytic geometry. 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. The book 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.

Publication:

Imprint:

Cambridge University Press (Virtual Publishing)

Returns:

Non-returnable