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References
Arnold, V.I.: "Critical points of smooth functions and their normal forms", Russian Math. Surveys 30: 5 (1975), 1–75.
Banchoff, T., Gaffney, T. and McCrory, C: "Cusps of Gauss Mappings", Research Notes in Mathematics, Pitman 1982.
Bruce, J.W.: "Duals of generic hypersurfaces". Math.Scand. (1981), 36–60.
Gibson, C.G., Wirthmüller, K., du Plessis, A.A. and Looijenga, E.J.N.: "Topological stability of smooth mappings", Lect. Notes in Math. 552, Springer, Berlin (1976).
Golubitsky, M. and Guillemin, V.: "Stable Mappings and their Singularities". Grad. Texts in Math. 14, Springer, Berlin (1973).
Hirsch, M.W.: "Differential Topology", Grad. Texts in Math. 33, Springer, Berlin (1976).
Looijenga, E.J.N.: "Structural Stability of smooth families of C ∞ -functions", Doctoral thesis, University of Amsterdam (1974).
Nimmo-Smith, M.I.: "Curvatures, singularities of projections and smooth maps", Ph. D. thesis, University of Durham (1971).
Robertson, S.A. and Romero Fuster, M.C.: "Convex hulls of hypersurfaces", (to appear).
Romero Fuster, M.C.: "The convex hull of an immersion", Ph. D. thesis, Southampton University (1981).
Romero Fuster, M.C.: "Sphere stratifications and the Gauss map", (to appear).
Sedykh,V.D.: "Singularities of the convex hull of a curve in R 3", Funct. Anal. Appl. 11 (1977).
Sergeraert, F. "Un théorème des fonctions implicites pour les espaces de Fréchèt", Ann. Sc. de l’Ec. Norm. Sup. t5 Fasc. 4 (1972), 559–660.
Thom, R.: "Sur le cut-locus d’une variété plongée", J. Diff. Geom. 6 (1972), 577–586.
Trotman D.J.A. and Zeeman E.C.: "The classification of elementary catastrophes of codimension ≤ 5", Structural Stability, the Theory of Catastrophes and Applications in the Sciences, Seattle 1975. Lect. Notes in Math. 525, Springer, Berlin (1976).
Wall, C.T.C.: "Geometric properties of generic differentiable manifolds", Geometry and Topology, Rio de Janeiro 1976, Lect. Notes in Math. 597, Springer, Berlin (1977), 707–774.
Wasserman, G.: "Stability of unfoldings", Lect. Notes in Math. 393, Springer, Berlin (1974).
Zaralyukin,V.M.: "Singularities of convex hulls of smooth manifolds", Funct. Anal. Appl. 11 (1978).
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Romero-Fuster, M.C. (1984). Generic embeddings, Gauss maps and stratipications. In: Naveira, A.M. (eds) Differential Geometry. Lecture Notes in Mathematics, vol 1045. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072177
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DOI: https://doi.org/10.1007/BFb0072177
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