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单词 Pass Equivalent
释义

Pass Equivalent

Two Knots are pass equivalent if there exists a sequence of pass moves taking one to the other. EveryKnot is either pass equivalent to the Unknot or Trefoil Knot. These two knots are not pass equivalent toeach other, but the Enantiomers of the Trefoil Knot are pass equivalent. A Knot hasArf Invariant 0 if the Knot is pass equivalent to the Unknot and 1 if it is pass equivalent to theTrefoil Knot.

See also Arf Invariant, Knot, Pass Move, Trefoil Knot, Unknot


References

Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, pp. 223-228, 1994.


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