ABSTRACT

A closed space curve without self-intersections is called a knot. A polygonal knot is the union of a finite number of straight line segments called edges. A knot y is tame, if there exists a homeomorphism of the space onto itself, which maps y onto a polygonal knot; otherwise this knot is called wild. The following theorem is known (we do not demonstrate its proof): if a knot is C'-regular, then it is tame. We will consider only tame knots.