A Partial Order of Knots

Kouki TANIYAMA

doi:10.3836/tjm/1270133558

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Home > Journals > Tokyo J. Math. > Volume 12 > Issue 1 > Article

June 1989 A Partial Order of Knots

Kouki TANIYAMA

Tokyo J. Math. 12(1): 205-229 (June 1989). DOI: 10.3836/tjm/1270133558

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Abstract

In this paper we introduce a new partial order $\leqq$ on the set of all classical knots. We show for example that every nontrivial knot $\geqq$ the trefoil knot.