An algebraic halfway model for the eversion of the sphere (with an appendix by Bernard Morin)

DOI10.2748/tmj/1178227379zbMath0788.57020OpenAlexW1900130395MaRDI QIDQ1813067

François Apéry

Publication date: 25 June 1992

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227379

zbMATH Keywords

real algebraic surfaceimmersionsMorse functionregular homotopyeversion of the sphereBoy surfacesclosed halfway model

Mathematics Subject Classification ID

Surfaces and higher-dimensional varieties (14J99) Immersions in differential topology (57R42) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99)

Related Items (5)

Willmore minmax surfaces and the cost of the sphere eversion ⋮ Analytic sphere eversion using ruled surfaces ⋮ On the index of Willmore spheres ⋮ Sphere eversion from the viewpoint of generic homotopy ⋮ Immersions of the real projective plane into \(\mathbb R^{3}\)

Cites Work

• La surface de Boy. (Boy's surface)
• A Classification of Immersions of the Two-Sphere
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