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arxiv:1008.0916
The `Holiverse': holistic eversion of the 2-sphere in R^3
Published on Aug 5, 2010
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Abstract
We give a short, simple and conceptual proof, based on spin structures, of sphere eversion: an embedded 2-sphere in R^3 can be turned inside out by regular homotopy. Ingredients of this eversion are seamlessly connected. We also give the mathematical origins of the proof: the Hopf fibration, and the topological structure of real-projective 3-space.
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