How Not To Prove The Poincaré Conjecture
| Venue: | of Ann. Math. Stud |
| Citations: | 4 - 0 self |
BibTeX
@ARTICLE{Stallings_hownot,
author = {John R. Stallings},
title = {How Not To Prove The Poincaré Conjecture},
journal = {of Ann. Math. Stud},
year = {},
volume = {60}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
Introduction I have committed | the sin of falsely proving Poincare's Conjecture. But that was in another country; and besides, until now no one has known about it. Now, in hope of deterring others from making similar mistakes, I shall describe my mistaken proof. Who knows but that somehow a small change, a new interpretation, and this line of proof may be rectied! In the back of my mind when I conceived my proof was this theorem. Theorem 0. (For n 6= 2). Let f : M ! K be a map of a connected orientable n-manifold into an n-complex, and let C 1 , : : : , C k be some of the n-simplexes of K such that the degree of f on each C i is zero (that is, the homology map induced by f , Hn
