ISBN: 9780511893438

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. … More...

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. 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 eBook PDF 07.05.1998 eBooks>Fremdsprachige eBooks>Englische eBooks, Cambridge University Press, .199<

ISBN: 9780511893438

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.T… More...

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.; PDF; Scientific, Technical and Medical > Mathematical foundations > Mathematical logic, Cambridge University Press<

ISBN: 9780511893438

These notes give a self-contained treatment of the theory of o-minimal structures.; EPUB; Scientific, Technical and Medical > Mathematical foundations > Mathematical logic, University of … More...

These notes give a self-contained treatment of the theory of o-minimal structures.; EPUB; Scientific, Technical and Medical > Mathematical foundations > Mathematical logic, University of California Press<

1998, ISBN: 9780511893438

eBooks, eBook Download (PDF), Auflage, [PU: Cambridge University Press], [ED: 1], Cambridge University Press, 1998

ISBN: 9780511893438

These notes give a self-contained treatment of the theory of o-minimal structures. Mathematics, eBooks.com