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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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B. G. Sidharth. 2000-09-01. Why a Conjecture of Poincare Doesn't Work. https://arxiv.org/abs/math/0009005

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