Geometry of Subanalytic and Semialgebraic Sets
Author:   Masahiro Shiota
Publisher:   Birkhauser Verlag AG
Volume:   v. 150
ISBN:  

9783764340001


Pages:   352
Publication Date:   September 1997
Replaced By:   9780817640002
Format:   Hardback
Availability:   In Print   Availability explained
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Geometry of Subanalytic and Semialgebraic Sets


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Overview

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.

Full Product Details

Author:   Masahiro Shiota
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Volume:   v. 150
ISBN:  

9783764340001


ISBN 10:   3764340002
Pages:   352
Publication Date:   September 1997
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Replaced By:   9780817640002
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preliminaries; X-sets; hauptvermutung for polyhedra; triangulation of X-maps; N-sets; notation.

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