On Elevating Manifold Differentiability

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 E_n of an (n- 1) sphere, S_n-1. (Abstract to appear in Bull. American Math. Soc.) Mazur's mappings are not differentiable.