The Geometry of Topological Stability
Series: London Mathematical Society Monographs; 9;
- Publisher's listprice GBP 220.00
-
99 330 Ft (94 600 Ft + 5% VAT)
The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.
- Discount 10% (cc. 9 933 Ft off)
- Discounted price 89 397 Ft (85 140 Ft + 5% VAT)
Subcribe now and take benefit of a favourable price.
Subscribe
99 330 Ft
Availability
printed on demand
Why don't you give exact delivery time?
Delivery time is estimated on our previous experiences. We give estimations only, because we order from outside Hungary, and the delivery time mainly depends on how quickly the publisher supplies the book. Faster or slower deliveries both happen, but we do our best to supply as quickly as possible.
Product details:
- Publisher OUP Oxford
- Date of Publication 7 December 1995
- ISBN 9780198535881
- Binding Hardback
- No. of pages580 pages
- Size 241x162x37 mm
- Weight 991 g
- Language English
- Illustrations line figures, tables 0
Categories
Short description:
The aim of this book is to give necessary and sufficient conditions for aCToo map to be CTo-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. Written by internationally renowned authors, the book describes original research, virtually none of which has appeared before in either articles or in book form. The methods developed will stimulate future progress from their application, especially with regard to singularity theory.
MoreLong description:
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.
In judging the importance of the present work in the context of stability of smooth maps, it cannot be easily overestimated. It guides the reader through a maze of complicated new results including proofs at the center of manifold theory.
Table of Contents:
Part I: Prolegomena to Stability Theory
General introduction
Review of stability theory
Proper maps and function space topologies
Various notions of stability
Part II: Necessary Conditions
Disruptive germ classes
Necessary conditions for topological stability
Stable topological invariance of u-constant strata
Stable topological type of finite map-germs
Part III: Sufficient Conditions
A sufficient condition for strong topological stability
Algebraic criteria for civilization
Calculations of instability loci
Part IV: Conclusion
Necessary and sufficient conditions for stability
Problems
References
Index
