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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| Format: | eBook |
| Language: | English |
| Published: |
Boston :
Birkhäuser,
[1997]
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| Series: | Progress in mathematics (Boston, Mass.) ;
v. 150. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xii, 431 pages) |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references (pages 421-424) and index. |
| ISBN: | 9781461220084 (electronic bk.) 1461220084 (electronic bk.) |