THE SPECTRUM OF THE GROWTH RATE OF THE TUNNEL NUMBER IS INFINITE

被引：3

作者：

Baker, Kenneth L. ^{[1
]}

Kobayashi, Tsuyoshi ^{[2
]}

Rieck, Yo'av ^{[3
]}

机构：

[1] Univ Miami, Dept Math, Coral Gables, FL 33146 USA

[2] Nara Womens Univ, Dept Math, Kitauoya Nishimachi, Nara 6308506, Japan

[3] Univ Arkansas, Dept Math Sci, Fayetteville, AR 72701 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 08期

关键词：

3-manifold; knots; Heegaard splittings; tunnel number; MORIMOTOS CONJECTURE; KNOTS; SURGERY;

D O I：

10.1090/proc/12957

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For any epsilon > 0 we construct a hyperbolic knot K subset of S-3 for which 1 - epsilon < gr(t)(K) < 1. This shows that the spectrum of the growth rate of the tunnel number is infinite.

引用

页码：3609 / 3618

页数：10

共 18 条

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