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Pré-Publication, Document De Travail Année : 2016

1-domination of knots

Résumé

We say that a knot $k_1$ in the $3$-sphere {\it $1$-dominates} another $k_2$ if there is a proper degree 1 map $E(k_1) \to E(k_2)$ between their exteriors, and write $k_1 \ge k_2$. When $k_1 \ge k_2$ but $k_1 \ne k_2$ we write $k_1 > k_2$. One expects in the latter eventuality that $k_1$ is more {\it complicated}. In this paper we produce various sorts of evidence to support this philosophy.

Dates et versions

hal-01302576 , version 1 (14-04-2016)

Identifiants

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Michel Boileau, Steven Boyer, Dale Rolfsen, Shicheng Wang. 1-domination of knots. 2016. ⟨hal-01302576⟩
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