Proof of the Poincare' conjecture
General Mathematics
2007-05-23 v8
Abstract
This paper proves that any compact, closed, simply connected and connected three dimensional stellar manifold is stellar equivalent to the three dimensional sphere.
Keywords
Cite
@article{arxiv.math/0210334,
title = {Proof of the Poincare' conjecture},
author = {Sergey Nikitin},
journal= {arXiv preprint arXiv:math/0210334},
year = {2007}
}
Comments
Th. 2.8 was wrong in version 1 that made the proof incomplete. It was fixed in version 2. The definition of simple connectivity (Definition 10) was too strong in version 2. It was fixed in version 3. Versions 4 has minor editorial changes that make presentation more clear and precise . Definition 3 (Cutting along a simplex) is fixed in Version 5 . Versions 6, 7 and 8 contain an improved presentation of the main result