English

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

Geometric Topology 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0612554,
  title  = {On the 3-Dimensional Poincar\'e Conjecture and the 4-Dimensional Smooth Schoenflies Problem},
  author = {Valentin Poenaru},
  journal= {arXiv preprint arXiv:math/0612554},
  year   = {2007}
}
R2 v1 2026-07-22T17:48:05.362Z