Concepedia

Prime knots and tangles

W. B. R. Lickorish

Transactions of the American Mathematical Society · 1981 · 90 citations · 4 references

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Abstract

A study is made of a method of proving that a classical knot or link is prime. The method consists of identifying together the boundaries of two prime tangles. Examples and ways of constructing prime tangles are explored.

References

4

Splitting the PL involutions of nonprime $3$-manifolds.

Paik Kee Kim, Jeffrey L. Tollefson · The Michigan Mathematical Journal · 1980 · 74 citations · Full text

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Prime knots and concordance

Robion Kirby, W. B. R. Lickorish · Mathematical Proceedings of the Cambridge Philosophical Society · 1979 · 61 citations

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Homology cobordisms of 3-manifolds, knot concordances, and prime knots

Charles Livingston · Pacific Journal of Mathematics · 1981 · 34 citations · Full text

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Non-simplicially collapsible triangulations of <i>I<sup>n</sup></i>

Richard E. Goodrick · Mathematical Proceedings of the Cambridge Philosophical Society · 1968 · 30 citations

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