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单词 Bing's Theorem
释义

Bing's Theorem

If is a closed oriented connected 3-Manifold such that every simple closed curve in lies interior to a Ball in , then is Homeomorphic with the Hypersphere, .

See also Ball, Hypersphere


References

Bing, R. H. ``Necessary and Sufficient Conditions that a 3-Manifold be .'' Ann. Math. 68, 17-37, 1958.

Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 251-257, 1976.


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