On the 3-Dimensional Poincar\'e Conjecture and the 4-Dimensional Smooth Schoenflies Problem

Abstract

This is the announcement of an alternative approach to the 3-dimensional Poincar\'e Conjecture, different from Perelman's big and spectacular breakthrough. No claim concerning the other parts of the Thurston Geometrization Conjecture, come with our purely 4-dimensional line of argument.

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