Some metrics on classical knots (Q791197)
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scientific article; zbMATH DE number 3850094
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some metrics on classical knots |
scientific article; zbMATH DE number 3850094 |
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Some metrics on classical knots (English)
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1985
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Every classical knot can be deformed into the trivial knot by applying some unknotting operations. So one can define a distance between two given knots to be the minimum number of the unknotting operations needed to deform one knot into the other. This defines a metric on the set of all classical knots. We also introduce another ''unknotting operation'', a {\#}-unknotting operation, and define another metric. In this paper, we study some relations between these two metrics and well-known knot invariants.
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unknotting number
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distance between two given knots
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knot invariants
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