Tame Topology and O-Minimal Structures

Zusammenfassung 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. This book should be of interest to model theorists! analytic geometers and topologists. Inhaltsverzeichnis 1. Some elementary results; 2. Semialgebraic sets; 3. Cell decomposition; 4. Definable invariants: Dimension and Euler characteristic; 5. The Vapnik¿Chernovenkis property in o-minimal structures; 6. Point-set topology in o-minimal structures; 7. Smoothness; 8. Triangulation; 9. Trivialization; 10. Definable spaces and quotients.

Dettagli sul prodotto

• Autori: L. P. D. Van Den Dries, Lou van den Dries, Lou van den Dries
• Con la collaborazione di: J. W. S. Cassels (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 07.05.1998
• EAN: 9780521598385
• ISBN: 978-0-521-59838-5
• Pagine: 192
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Geometria