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Convex sets and plane curve singularities - MaRDI portal

Convex sets and plane curve singularities (Q1116470)

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scientific article; zbMATH DE number 4090308
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Convex sets and plane curve singularities
scientific article; zbMATH DE number 4090308

    Statements

    Convex sets and plane curve singularities (English)
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    1989
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    According to a theorem of Möbius a differentiable Jordan curve in the real projective plane has at least 3 points of inflection if it is odd, i.e. meets any non-tangent line an odd number of times. Here it is shown that it has at least 6 points of inflection if it is even and unbounded.
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    convex sets in projective planes
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    theorem of Möbius
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    differentiable Jordan curve
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    points of inflection
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