No 2-knot has triple point number two or three (Q2574461)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | No 2-knot has triple point number two or three |
scientific article |
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No 2-knot has triple point number two or three (English)
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21 November 2005
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It is known that a 2-knot has triple number less than two if and only if the knot is of ribbon type. The authors prove that there exist no 2-knots having triple point number two or three. This implies that the 2-twist-spun trefoil (having triple point number four) is, in a sense, the simplest non-ribbon 2-knot.
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2-knot
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triple number
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