Two knots are called ambient isotopic and considered topologically
equivalent, iff one may continuously pass from one knot to the other.
Let two knots be defined by the 1-1 continuous functions f(s) and f'(s). These knots are ambient isotopic iff there is a function g(s,t), where t belongs to [0,1], and g is continuous with respect to both s and t, such that
For a discussion of showing knot equivalence click here. For a discussion of showing knot inequivalence click here.
Charilaos Aneziris, firstname.lastname@example.org
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