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Geometry of subanalytic and semialgebraic sets

Author: Masahiro Shiota
Publisher: Boston : Birkhäuser, ©1997.
Series: Progress in mathematics (Boston, Mass.), v. 150.
Edition/Format:   Print book : EnglishView all editions and formats
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  Read more...
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Additional Physical Format: Online version:
Shiota, Masahiro, 1947-
Geometry of subanalytic and semialgebraic sets.
Boston : Birkhäuser, ©1997
(OCoLC)812612981
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Masahiro Shiota
ISBN: 0817640002 9780817640002 3764340002 9783764340001
OCLC Number: 36430727
Description: xii, 431 pages ; 25 cm.
Contents: Preliminaries; X-sets; hauptvermutung for polyhedra; triangulation of X-maps; N-sets; notation.
Series Title: Progress in mathematics (Boston, Mass.), v. 150.
Responsibility: Masahiro Shiota.

Abstract:

Subanalytic and semialgebraic were introduced for topological and systematic investigations of real and algebraic sets. The author generalizes them by treating them abstractly. This text should be  Read more...

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