The Journal of the Indian Mathematical Society

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On Elevating Manifold Differentiability


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1 Institute for Advanced Study, Princeton, New Jersey, United States
     

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Mazur of Princeton University has established the Schoenflies theorem for a polyhedral homeomorph in E4 of a 3-sphere. His method may be extended to the regular differentiable homeomorph in En of an (n- 1) sphere, Sn-1. (Abstract to appear in Bull. American Math. Soc.) Mazur's mappings are not differentiable.
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  • On Elevating Manifold Differentiability

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Authors

Marston Morse
Institute for Advanced Study, Princeton, New Jersey, United States

Abstract


Mazur of Princeton University has established the Schoenflies theorem for a polyhedral homeomorph in E4 of a 3-sphere. His method may be extended to the regular differentiable homeomorph in En of an (n- 1) sphere, Sn-1. (Abstract to appear in Bull. American Math. Soc.) Mazur's mappings are not differentiable.