Synopsis
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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