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arXiv · 1506.02919

The topological proof of the Poincare conjecture

Yuri Shimizu
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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.

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Yuri Shimizu. 2015-11-10. The topological proof of the Poincare conjecture. https://arxiv.org/abs/1506.02919

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