2000•arXiv (Cornell University)Open access
Why a Conjecture of Poincare Doesn't Work
B. G. Sidharth
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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.
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