How Not To Prove The Poincaré Conjecture
| Venue: | of Ann. Math. Stud |
| Citations: | 3 - 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}
}
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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
Citations
| 7 | A theorem on planar covering surfaces with applications to 3-manifolds - Maskit - 1965 |
| 5 | How not to prove the Poincaré conjecture. Topology Seminar - Stallings - 1965 |
| 3 | A reduction of the Poincaré conjecture to group theoretic conjectures - Papakyriakopoulos - 1963 |
