Prime Knots and Tangles
- 1 September 1981
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 267 (1), 321-332
- https://doi.org/10.2307/1998587
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.Keywords
This publication has 8 references indexed in Scilit:
- Homology cobordisms of 3-manifolds, knot concordances, and prime knotsPacific Journal of Mathematics, 1981
- Lectures on Three-Manifold TopologyCBMS Regional Conference Series in Mathematics, 1980
- Splitting the PL involutions of nonprime $3$-manifolds.The Michigan Mathematical Journal, 1980
- Prime knots and concordanceMathematical Proceedings of the Cambridge Philosophical Society, 1979
- Homotopy Equivalences of 3-Manifolds with BoundariesLecture Notes in Mathematics, 1979
- Problems in low dimensional manifold theoryPublished by American Mathematical Society (AMS) ,1978
- An enumeration of knots and links, and some of their algebraic propertiesPublished by Elsevier ,1970
- Über involutionen der 3-sphäreTopology, 1969