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A Brunnian link is a set of 
linked loops such that each proper sublink is trivial, so that the removal of any component
leaves a set of trivial unlinked Unknots. The Borromean Rings are the simplest example and have 
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See also Borromean Rings
References
Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, 1976.