Primeness and sums of tangles-Reference-Cited by-同舟云学术

Primeness and sums of tangles

Published:1988 Issue:2 Volume:306 Page:773-790
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Eudave Muñoz Mario

Abstract

We consider knots and links obtained by summing a rational tangle and a prime tangle. For a given prime tangle, we show that there are at most three rational tangles that will induce a composite or splittable link. In fact, we show that there is at most one rational tangle that will give a splittable link. These results extend Scharlemann’s work.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1988-306-02/S0002-9947-1988-0933317-1/S0002-9947-1988-0933317-1.pdf

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