Buch, Englisch, 580 Seiten, Format (B × H): 164 mm x 243 mm, Gewicht: 966 g
Buch, Englisch, 580 Seiten, Format (B × H): 164 mm x 243 mm, Gewicht: 966 g
ISBN: 978-0-19-853588-1
Verlag: Clarendon Press
The aim of this book is to give necessary and sufficient conditions for aCoo map to be C0-stable; the aim is achieved in a wide range of dimensions via a detailed study of the geometry and topology of many classes of "generic" singularities.
The methods developed for examining the topology and geometry use results from many areas of mathematics - geometric topology, stratification theory, algebraic topology, algebraic geometry, commutative algebra. - and further progress will doubtless be made from the application of deeper results from these areas. Conversely, it is to be hoped that the description of the behaviour of generic singularities will also have interesting consequences for these areas of mathematics, which are those with most interaction with singularity theory.
The book describes original research; essentially none of its results has previously appeared elsewhere, either in scientific articles or in books.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
- Part I: Prolegomena to Stability Theory
- General introduction
- 1: Review of stability theory
- 2: Proper maps and function space topologies
- 3: Various notions of stability
- Part II: Necessary Conditions
- 4: Disruptive germ classes
- 5: Necessary conditions for topological stability
- 6: Stable topological invariance of u-constant strata
- 7: Stable topological type of finite map-germs
- Part III: Sufficient Conditions
- 8: A sufficient condition for strong topological stability
- 9: Algebraic criteria for civilization
- 10: Calculations of instability loci
- Part IV: Conclusion
- 11: Necessary and sufficient conditions for stability
- Problems
- References
- Index
