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Mathematics

Conjuring with conjectures

The Clay Mathematics Institute is offering a million dollars for a solution to the Poincaré conjecture, and Grisha Perelman may have found one. What is the conjecture, and why does it matter?

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Figure 1: Testing topology.

References

  1. http://www.claymath.org/Millennium_Prize_Problems

  2. Perelman, G. Preprint math.DG/0211159 at <http://arXiv.org> (2002).

  3. Perelman, G. Preprint math.DG/0303109 at <http://arXiv.org> (2003).

  4. Stewart, I. Flatterland (Macmillan, London, 2001).

    MATH  Google Scholar 

  5. Hamilton, R. S. J. Diff. Geom. 17, 255–306 (1982).

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Correspondence to Ian Stewart.

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Stewart, I. Conjuring with conjectures. Nature 423, 125–127 (2003). https://doi.org/10.1038/423124a

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  • DOI: https://doi.org/10.1038/423124a

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