Geometry of subanalytic and semialgebraic sets /

Subanalytic and semialgebraic sets were introduced for topological and systematic investigations of real analytic and algebraic sets. One of the author's purposes is to show that almost all (known and unknown) properties of subanalytic and semialgebraic sets follow abstractly from some fundamen...

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Bibliographic Details
Main Author: Shiota, Masahiro, 1947-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston : Birkhäuser, [1997]
Series:Progress in mathematics (Boston, Mass.) ; v. 150.
Subjects:
Online Access:Connect to the full text of this electronic book

MARC

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100 1 |a Shiota, Masahiro,  |d 1947- 
245 1 0 |a Geometry of subanalytic and semialgebraic sets /  |c Masahiro Shiota. 
264 1 |a Boston :  |b Birkhäuser,  |c [1997] 
264 4 |c ©1997 
300 |a 1 online resource (xii, 431 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Progress in mathematics ;  |v v. 150 
504 |a Includes bibliographical references (pages 421-424) and index. 
520 |a Subanalytic and semialgebraic sets were introduced for topological and systematic investigations of real analytic and algebraic sets. One of the author's purposes is to show that almost all (known and unknown) properties of subanalytic and semialgebraic sets follow abstractly from some fundamental axioms. Another is to develop methods of proof that use finite processes instead of integration of vector fields. The proofs are elementary, but the results obtained are new and significant - for example, for singularity theorists and topologists. Further, the new methods and tools developed provide solid foundations for further research by model theorists (logicians) who are interested in applications of model theory to geometry. A knowledge of basic topology is required. 
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650 0 |a Semialgebraic sets. 
650 0 |a Semianalytic sets. 
650 4 |a Ensemble sous-analytique. 
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650 4 |a Stratification Whitney. 
650 7 |a Ensembles semi-analytiques.  |2 ram 
650 7 |a Ensembles semi-algébriques.  |2 ram 
650 0 7 |a Semialgebraische Menge.  |2 swd 
650 0 7 |a Subanalytische Menge.  |2 swd 
650 7 |a Semialgebraic sets.  |2 fast  |0 (OCoLC)fst01112118 
650 7 |a Semianalytic sets.  |2 fast  |0 (OCoLC)fst01112119 
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