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Arnold Shapiro's eversion of the sphere

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Publication:1150917
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DOI10.1007/BF03028603zbMath0456.57008MaRDI QIDQ1150917

George K. Francis, Bernard Morin

Publication date: 1980

Published in: The Mathematical Intelligencer (Search for Journal in Brave)


zbMATH Keywords

2-sphereregular homotopyeversion of the sphereturn a sphere inside out


Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Immersions in differential topology (57R42) History of Chinese mathematics (01A25)


Related Items (7)

Willmore minmax surfaces and the cost of the sphere eversion ⋮ Analytic sphere eversion using ruled surfaces ⋮ On the index of Willmore spheres ⋮ Regular-equivalence of 2-knot diagrams and sphere eversions ⋮ René Thom and an Anticipated h-Principle ⋮ Sphere eversion from the viewpoint of generic homotopy ⋮ On the topological characterization of near force-free magnetic fields, and the work of late-onset visually-impaired topologists



Cites Work

  • Convex immersions of closed surfaces in \(E^3\). Non-orientable closed surfaces in \(E^3\) with minimal total absolute Gauss-curvature
  • A Classification of Immersions of the Two-Sphere
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