Geometry of Subanalytic and Semialgebraic Sets - Rilegato

Shiota, Masahiro

Rilegato

ISBN 10: 0817640002 ISBN 13: 9780817640002

Casa editrice: Birkhauser, 1997

Riassunto

Subanalytic and semialgebraic sets were introduced for topological and systematic investigations of real analytic and algebraic sets. This text aims to show that almost all known and unknown properties of subanalytic and semialgebraic sets follow abstractly from some fundamental axioms, and it aims to develop methods of proof that use finite processes instead of integration of vector fields. Although the proofs are elementary, the results are new and of interest to, for example, singularity theorists and topologists, and the new methods and tools developed provide a basis for further research by model theorists who apply model theory to geometry.

Su questo libro

Recensione

"The main interest of the book is that it contains very deep results, some of which are new even for subanalytic or semialgebraic sets... These results are very important and provide foundations for the development of a 'tame topology' and a 'tame singularity theory.' Shiota's book is indispensable to every mathematician interested in these topics."

-Bulletin of the AMS

Dettagli dell'edizione

• Editore: Birkhauser
• Data di pubblicazione: 1997
• Lingua: Inglese
• ISBN 10: 0817640002
• ISBN 13: 9780817640002
• Rilegatura: Copertina rigida
• Numero di pagine: 431
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile