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, 
.
Bing's Theorem
See also
Ball, HypersphereExplore with Wolfram|Alpha
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.Referenced on Wolfram|Alpha
Bing's TheoremCite this as:
Weisstein, Eric W. "Bing's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BingsTheorem.html