Smooth Surfaces and Their Projections

Vladimir I. Arnold
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Vladimir I. Arnold: Steklov Mathematical Institute

Chapter 12 in Catastrophe Theory, 1992, pp 67-74 from Springer

Abstract: Abstract A smooth curve on the plane can have a tangent which touches it tangentially at any number of points, but this is not true for generic curves. By a small perturbation of the curve one can always achieve that no straight line will be tangential at more than two points.

Date: 1992
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DOI: 10.1007/978-3-642-58124-3_12

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