Geometry of Subanalytic and Semialgebraic Sets
Masahiro Shiota(Author)
Birkhäuser Verlag GmbH
Published in September 1997
Book
Hardback
443 pages
978-3-7643-4000-1 (ISBN)
Article exhausted; check different version
Description
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.
More details
Language
English
Place of publication
Basel
Switzerland
Target group
College/higher education
Professional and scholarly
Illustrations
bibliography, index
Dimensions
Height: 24 cm
Width: 15.5 cm
Weight
792 gr
ISBN-13
978-3-7643-4000-1 (9783764340001)
Schweitzer Classification
Other editions
New editions

Masahiro Shiota
Geometry of Subanalytic and Semialgebraic Sets
Book
09/1997
1st Edition
Birkhauser Boston Inc
€96.00
Article exhausted; check different version
Content
Preliminaries; X-sets; hauptvermutung for polyhedra; triangulation of X-maps; N-sets; notation.