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On $$C$$-distance of knots. (English) Zbl 0846.57007
Summary: We define a distance on knots in terms of surfaces in $$S^3$$. This distance is related to the genera of knots, unknotting numbers and surfaces in 4-space spanning the knots.

##### MSC:
 57M25 Knots and links in the $$3$$-sphere (MSC2010)
##### Keywords:
distance; knots; genera; unknotting numbers