Singularities of mappings : the local behaviour of smooth and complex analytic mappings / David Mond, Juan J. Nuño-Ballesteros.

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Bibliographic Details
Main Author: Mond, D. (David)
Other Authors: Nuño-Ballesteros, Juan J.
Format: eBook
Published: Cham : Springer, 2020.
Series:Grundlehren der mathematischen Wissenschaften ; 357.
Online Access:Click for online access
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.