English

Why a Conjecture of Poincare Doesn't Work

General Mathematics 2007-05-23 v1

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.

Cite

@article{arxiv.math/0009005,
  title  = {Why a Conjecture of Poincare Doesn't Work},
  author = {B. G. Sidharth},
  journal= {arXiv preprint arXiv:math/0009005},
  year   = {2007}
}

Comments

5 pages, TeX

R2 v1 2026-07-22T16:34:28.721Z