The Geometry of Topological Stability
Author:   Andrew A. du Plessis (Mathematics Institute, Mathematics Institute, Aarhus University, Denmark) ,  Terry Wall (Department of Pure Mathematics, Department of Pure Mathematics, University of Liverpool)
Publisher:   Oxford University Press
Volume:   9
ISBN:  

9780198535881


Pages:   580
Publication Date:   07 December 1995
Format:   Hardback
Availability:   To order   Availability explained
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The Geometry of Topological Stability


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Overview

"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."

Full Product Details

Author:   Andrew A. du Plessis (Mathematics Institute, Mathematics Institute, Aarhus University, Denmark) ,  Terry Wall (Department of Pure Mathematics, Department of Pure Mathematics, University of Liverpool)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Volume:   9
Dimensions:   Width: 16.20cm , Height: 3.70cm , Length: 24.10cm
Weight:   0.991kg
ISBN:  

9780198535881


ISBN 10:   0198535880
Pages:   580
Publication Date:   07 December 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

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

Reviews

[The authors'] partial successes presented in this book are beautiful achievements, using techniques which should command wide interest. --Mathematical Reviews (featured review)<br>


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