English

Poincare's Conjecture for three manifolds

General Mathematics 2017-09-15 v2

Abstract

We prove Poincare's Conjecture that every simply connected, closed three-manifold is topologically equivalent to the three-sphere. The proof is founded on the algebraic formulation discovered by J. Stallings.

Keywords

Cite

@article{arxiv.0711.3706,
  title  = {Poincare's Conjecture for three manifolds},
  author = {G. S. Makanin},
  journal= {arXiv preprint arXiv:0711.3706},
  year   = {2017}
}
R2 v1 2026-06-21T09:46:32.812Z