Why a Conjecture of Poincare Doesn't Work
B. G. Sidharth
Abstract
Poincare had conjectured that the fact that closed loops could be shrunk to points on a surface topologically equivalent to the surface of a sphere can be generalised to three (and more) dimensions. After nearly a century the conjecture has remained unproven. We given arguments below to show that the conjecture doesn't work in three dimensions.
Create a lesson
Related papers
Construction, Enumeration and Duality of Perfectly Balanced Musical Sets of Order 2pq
Paul Lascabettes, Sidney Ali, Alexandre Popoff et al.
Boundary phenomena for slow recurrences:finite and infinite critical sets
Mohsen Aliabadi
Linear-exponent bounds for the automatic complexity of rational diagonals modulo prime powers
Alex Shvets
How Does One Cut a 30-60-90 Triangle?
Ed Pegg, Brian Trease, Andrew Hudson et al.
A Computational Verification of the Markov Uniqueness Conjecture for z≤ 10500000
Hu Tan, Ying Zhang
On Some Special Cases of the Weber-Schafheitlin Integral
V. G. Zborovskii