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Proceedings of the American Mathematical Society

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An elementary approach to generic properties of plane curves


Authors: J. W. Bruce and P. J. Giblin
Journal: Proc. Amer. Math. Soc. 90 (1984), 455-458
MSC: Primary 58C27
MathSciNet review: 728368
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Abstract: A direct and geometrical approach to the proof of generic properties of smooth submanifolds of Euclidean space is illustrated in the simplest case of plane curves.


References [Enhancements On Off] (What's this?)

  • [1] J. W. Bruce, Wavefronts and parallels in Euclidean space, Math. Proc. Cambridge Philos. Soc. 93 (1983), no. 2, 323–333. MR 692002, 10.1017/S030500410006062X
  • [2] M. Golubitsky and V. Guillemin, Stable mappings and their singularities, Springer-Verlag, New York-Heidelberg, 1973. Graduate Texts in Mathematics, Vol. 14. MR 0341518
  • [3] C. T. C. Wall, Geometric properties of generic differentiable manifolds, Geometry and topology (Proc. III Latin Amer. School of Math., Inst. Mat. Pura Aplicada CNPq, Rio de Janeiro, 1976) Springer, Berlin, 1977, pp. 707–774. Lecture Notes in Math., Vol. 597. MR 0494233

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0728368-8
Keywords: Curve, surface, generic property, dual
Article copyright: © Copyright 1984 American Mathematical Society