Why a Conjecture of Poincare Doesn't Work

2000/09/01 by B. G. Sidharth, Sidharth, B. G.
Mathematics · #Analytic Number Theory Research #History and Theory of Mathematics #Mathematical and Theoretical Analysis #math.GM

paper · pdf · doi:10.48550/arxiv.math/0009005

5 pages, TeX

arxiv created 2000/09/01 · arxiv updated 2009/11/30

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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