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Pseudo-isotopies of arcs and knots


Author: Carl D. Sikkema
Journal: Proc. Amer. Math. Soc. 31 (1972), 615-616
DOI: https://doi.org/10.1090/S0002-9939-1972-0286094-8
MathSciNet review: 0286094
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Abstract | References | Additional Information

Abstract: The purpose of this paper is to show that if an arc or simple closed curve contains a nontrivial Wilder arc, then it is not possible to transform a straight line segment onto the arc or a knot onto the simple closed curve. The proof uses the fact that every knot has a unique finite decomposition into prime knots.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0286094-8
Keywords: Arc, knot, pseudo-isotopy, Wilder arc, simple closed curve
Article copyright: © Copyright 1972 American Mathematical Society

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