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• Equivalence of Knots and Links:

  To study whether they are the same.
  1. The trefoil knot.
  2. The figure eight knot.
  3. The Whitehead link.
  4. The unknot, or the trivial knot.
  5. The Perko pair.

• Classifications of Knots

  There are many ways to put knots into different groups.
  1. Torus knots.
  2. Braids.
  3. Alternating Knots.

• Invariants:

  To see some invariants developed by mathematicians.
  1. Crossing number.
  2. Bridge number.
  3. Tricolorability.
  4. The linking number.
  5. Polynomials.