Geometry of Topological Stability

Name: Geometry of Topological Stability
Availability: OutOfStock
ISBN: 9780198535881

ISBN-10: 0198535880

ISBN-13: 9780198535881

Edition: 1995

Authors: Andrew du Plessis, Terry Wall

List price: $270.00

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Description:

In presenting a detailed study of the geometry and topology of numerous classes of "generic" singularities, Geometry of Topological Stability bridges the gap between algebraic calculations and continuity arguments to detail the necessary and sufficient conditions for a C (infinity) to be C0-stable. Throughout, the authors masterfully examine this important subject using results culled from a broad range of mathematical disciplines, including geometric topology, stratification theory, algebraic geometry, and commutative algebra. Packed with original research, much of which is presented here for the first time, the book will be welcomed by students and researchers interested in singularity…

Book details

List price: $270.00
Copyright year: 1995
Publisher: Oxford University Press, Incorporated
Publication date: 2/22/1996
Binding: Hardcover
Pages: 580
Size: 6.38" wide x 9.49" long x 1.46" tall
Weight: 2.2
Language: English




Prolegomena to Stability Theory


General Introduction



Review of Stability Theory



Proper Maps and Function Space Topologies



Various Notions of Stability



Necessary Conditions



Disruptive Germ Classes



Necessary Conditions for Topological Stability



Stable Topological Invariance of U-Constant Strata



Stable Topological Type of Finite Map-Germs



Sufficient Conditions



A Sufficient Condition for Strong Topological Stability



Algebraic Criteria for Civilization



Calculations of Instability Loci



Conclusion



Necessary and Sufficient Conditions for Stability


Problems


References


Index