Tame topology and o-minimal structures / Lou van den Dries.

Format:

Book

Author/Creator:

Van den Dries, Lou, author.

Series:

London Mathematical Society lecture note series ; 248.

London Mathematical Society lecture note series ; 248

Language:

English

Subjects (All):

Topology.

Ordered algebraic structures.

Physical Description:

1 online resource (x, 180 pages) : digital, PDF file(s).

Other Title:

Tame Topology & O-minimal Structures

Place of Publication:

Cambridge : Cambridge University Press, 1998.

Language Note:

English

Summary:

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.

Contents:

pt. 1. The nature of science

pt. 2. Does science have distinctive qualities?

pt. 2. Changing science in a changing world?.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-139-88235-X

1-107-36752-2

1-107-37208-9

1-107-36261-X

0-511-96097-2

1-299-40514-2

1-107-36506-6

0-511-52591-5