Framing functions and a strengthened version of Dehn's lemma

被引：2
|
作者：
Ito, Tetsuya [1 ]
机构：
[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2016年 / 25卷 / 06期
关键词：
Dehn's lemma; Knot; framing function; 3-MANIFOLDS; FOLIATIONS; TOPOLOGY;
D O I：
10.1142/S0218216516500310
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove the following strengthened version of Dehn's lemma: if a knot in a three-sphere possesses a compressing disc which intersects with the knot at only two points of opposite sign, then it is the unknot. This result was conjectured by Greene-Wiest.
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页数：5
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