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Singularities of Mappings The Local Behaviour of Smooth and Complex Analytic Mappings

The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings. Part I of the book develops the now classical real C∞ and complex analytic theories jo...

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Bibliographic Details
Main Authors: Mond, David, Nuño-Ballesteros, Juan J. (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2020, 2020
Edition:1st ed. 2020
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
Subjects:
Complex Manifolds
Algebraic Geometry
Functions Of Complex Variables
Manifolds And Cell Complexes (incl. Diff.topology)
Several Complex Variables And Analytic Spaces
Manifolds (mathematics)
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Part I Thom-Mather Theory: Right-Left Equivalence, Stability,Versal Unfoldings, Finite Determinacy
  • Manifolds and Smooth Mappings
  • Left-Right Equivalence and Stability
  • Contact Equivalence
  • Versal Unfoldings
  • Finite Determinacy
  • Classification of Stable Germs by Their Local Algebras
  • Part II Images and Discriminants: The Topology of Stable Perturbations
  • Stable Images and Discriminants
  • Multiple Points
  • Calculating the Homology of the Image
  • Multiple Points in the Target: The Case of Parameterised Hypersurfaces
  • Appendix A: Jet Spaces and Jet Bundles
  • Appendix B Stratifications
  • Appendix C Background in Commutative Algebra
  • Appendix D Local Analytic Geometry
  • Appendix E Sheaves. References
  • Index

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