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- catalog abstract "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.".
- catalog contributor b10450848.
- catalog created "c1997.".
- catalog date "1997".
- catalog date "c1997.".
- catalog dateCopyrighted "c1997.".
- catalog description "Includes bibliographical references (p.[421]-424) and index.".
- catalog description "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.".
- catalog extent "xii, 431 p. ;".
- catalog hasFormat "Geometry of subanalytic and semialgebraic sets.".
- catalog identifier "0817640002 (Boston : alk. paper)".
- catalog identifier "3764340002 (Basel : alk. paper)".
- catalog isFormatOf "Geometry of subanalytic and semialgebraic sets.".
- catalog isPartOf "Progress in mathematics (Boston, Mass.) ; v. 150.".
- catalog isPartOf "Progress in mathematics ; v. 150".
- catalog issued "1997".
- catalog issued "c1997.".
- catalog language "eng".
- catalog publisher "Boston : Birkhäuser,".
- catalog relation "Geometry of subanalytic and semialgebraic sets.".
- catalog subject "516.3 21".
- catalog subject "QA564 .S46 1997".
- catalog subject "Semialgebraic sets.".
- catalog subject "Semianalytic sets.".
- catalog title "Geometry of subanalytic and semialgebraic sets / Masahiro Shiota.".
- catalog type "text".