The topological proof of the Poincare conjecture
arXiv:1506.02919
Abstract
We consider the operation to crush a subset of a manifold to one-point when the result of the crushing also be a manifold. Then the Poincare conjecture is split to two problems; for any closed orientable 3-manifold which is not homeomorphic to the sphere, one is that this operation preserve simply-connectedness, and another one is that we can get a non-simply connected space by applying the operation. We show these propositions in this paper.
arXiv commentFound a counterexample of the method in the proof, this paper has been withdrawn by the author