NOTE ON CROSSING CHANGES |
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Authors: | BAADER S |
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Institution: | Mathematisches Institut der Universität Basel, Rheinsprung 21, CH-4051 Basel, Schweiz |
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Abstract: | For any pair of knots of Gordian distance two, we constructan infinite family of knots which are betweenthese two knots, that is, which differ from the given two knotsby one crossing change. In particular, we prove that every knotof unknotting number two can be unknotted via infinitely manydifferent knots of unknotting number one. |
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