Topics on real and complex singularities

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Inhaltsverzeichnis1: Two Classical Examples: Submersion Theorem and Morse Lemma.2: Germs and Jets.3: Equivalence Relations on Germs and Jets.4: Tangent Spaces to Orbits.5: Basic Classification Examples in Linear Algebra and Algebraic Geometry.6: Finite Determinacy of Map Germs.7: Weighted Homogeneous Singularities.8: Classification of Simple Singularities of Functions.9: Classification of Simple O-Dimensional Complete Intersections.10: Curve and Surface Singularities.11: Dual Mappings and Contact Tangency Classes for Projective Hypersurfaces.Appendix: Two Recent Research Topics.References.List of Notations.